What is the LCM of 109 and 95 - Find out answer step by step

What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 109 and 95.

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(109, 95) = LCM(95, 109).
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is always greater than the given numbers numbers. Eg- LCM of 109 and 95 is 10355, where 10355 is greater than 109 and 95.

Steps to find lcm of 109 and 95 by Listing Method

Find some first multiples of 109 and 95.
Find the least common multiple, and read off the answer!

Example: Find lcm of 109 and 95 by Listing Method

Multiples of 109: 109, 218, 327, 436, 545, 654, 763, 872, 981, 1090, 1199, 1308, 1417, 1526, 1635, 1744, 1853, 1962, 2071, 2180, 2289, 2398, 2507, 2616, 2725, 2834, 2943, 3052, 3161, 3270, 3379, 3488, 3597, 3706, 3815, 3924, 4033, 4142, 4251, 4360, 4469, 4578, 4687, 4796, 4905, 5014, 5123, 5232, 5341, 5450, 5559, 5668, 5777, 5886, 5995, 6104, 6213, 6322, 6431, 6540, 6649, 6758, 6867, 6976, 7085, 7194, 7303, 7412, 7521, 7630, 7739, 7848, 7957, 8066, 8175, 8284, 8393, 8502, 8611, 8720, 8829, 8938, 9047, 9156, 9265, 9374, 9483, 9592, 9701, 9810, 9919, 10028, 10137, 10246, 10355
Multiples of 95: 95, 190, 285, 380, 475, 570, 665, 760, 855, 950, 1045, 1140, 1235, 1330, 1425, 1520, 1615, 1710, 1805, 1900, 1995, 2090, 2185, 2280, 2375, 2470, 2565, 2660, 2755, 2850, 2945, 3040, 3135, 3230, 3325, 3420, 3515, 3610, 3705, 3800, 3895, 3990, 4085, 4180, 4275, 4370, 4465, 4560, 4655, 4750, 4845, 4940, 5035, 5130, 5225, 5320, 5415, 5510, 5605, 5700, 5795, 5890, 5985, 6080, 6175, 6270, 6365, 6460, 6555, 6650, 6745, 6840, 6935, 7030, 7125, 7220, 7315, 7410, 7505, 7600, 7695, 7790, 7885, 7980, 8075, 8170, 8265, 8360, 8455, 8550, 8645, 8740, 8835, 8930, 9025, 9120, 9215, 9310, 9405, 9500, 9595, 9690, 9785, 9880, 9975, 10070, 10165, 10260, 10355

Hence, LCM of 109 and 95 is 10355.

Steps to find LCM of 109 and 95 by Common Division Method

Find all the prime numbers that would divide 109 and 95 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 109 and 95 by Common Division Method

5	109 95
19	109 19
109	109 1
	1 1

Hence, LCM of 109 and 95 is 5 x 19 x 109 = 10355.

Steps to find lcm of 109 and 95 by Formula

The formula for LCM is LCM (109, 95) = (109 x 95) / GCF (109, 95)
Apply the formula, and read off the answer!

Example: Find lcm of 109 and 95 by Formula

GCF of 109 and 95 = 1
LCM of 109 and 95 = (109 x 95) / 1
=> 10355 / 1

Hence, LCM of 109 and 95 is 10355.

Examples

Steve spends 109 dollars every day while George spends 95 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 109 and 95.
So, LCM of 109 and 95 is 10355.

Boxes that are 109 inches tall are being pilled next to boxes that are 95 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 109 and 95.
So, LCM of 109 and 95 is 10355.

Sammy's company prints 109 textbooks at a time. Daniel's company prints textbooks in sets of 95 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 109 and 95.
So, LCM of 109 and 95 is 10355.

Ram and Deepika are running on a circular track. They start at the same time. They take 109 and 95 minutes respectively to go round once. Find at what time they will run together?

Ram and Deepika are running on a circular track. They take 109 and 95 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 109 and 95.
So, LCM of 109 and 95 is 10355.

Find the LCM of 109 and 95 using GCF method.

Greatest common factor or gcf of 109 and 95 is GCF(109, 95) x LCM(109, 95) = (109 x 95) / GCF(109, 95) = 10355.

Find the least common multiple of 109 and 95.

Least common multiple of 109 and 95 is 10355.

Find the least number which is exactly divisible by 109 and 95.

Least number which is exactly divisible by 109 and 95 is 10355.

What is LCM of 109 and 95?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 109 and 95 by Listing Method

Example: Find lcm of 109 and 95 by Listing Method

Steps to find LCM of 109 and 95 by Common Division Method

Example: Find lcm of 109 and 95 by Common Division Method

Steps to find lcm of 109 and 95 by Formula

Example: Find lcm of 109 and 95 by Formula

Examples

What is LCM of 109 and 95?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 109 and 95 by Listing Method

Example: Find lcm of 109 and 95 by Listing Method

Steps to find LCM of 109 and 95 by Common Division Method

Example: Find lcm of 109 and 95 by Common Division Method

Steps to find lcm of 109 and 95 by Formula

Example: Find lcm of 109 and 95 by Formula

Examples

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