# What is LCM of 16 and 25?

LCM of 16 and 25 is 400

#### How to find lcm of two numbers

 1.   What is LCM? 2.   Steps to find LCM of 16 and 25 By Listing Method 3.   Steps to find LCM of 16 and 25 By Common Division Method 4.   Steps to find LCM of 16 and 25 By Formula 5.   Examples

#### What is LCM of two numbers?

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 16 and 25.

#### Properties of LCM

• The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 16 and 25 is 400, where 16 and 25 are less than 400.
• LCM is associative which means LCM(16, 25) = LCM(25, 16).
• 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 or more prime numbers is their product.

### Example: Find lcm of 16 and 25 by Listing Method

• Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400
• Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400

Hence, LCM of 16 and 25 is 400.

### Example: Find lcm of 16 and 25 by Common Division Method

 2 16 25 2 8 25 2 4 25 2 2 25 5 1 25 5 1 5 1 1

Hence, LCM of 16 and 25 is 2 x 2 x 2 x 2 x 5 x 5 = 400.

### Example: Find lcm of 16 and 25 by Formula

• GCF of 16 and 25 = 1
• LCM of 16 and 25 = (16 x 25) / 1
• => 400 / 1

Hence, LCM of 16 and 25 is 400.

#### Examples

Franky and Joy are running on a circular track. They start at the same time. They take 16 and 25 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 16 and 25 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 16 and 25.
So, LCM of 16 and 25 is 400.

A shopkeeper sells candies in packet of 16 and chocolates in packet of 25. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 16 and 25.
So, LCM of 16 and 25 is 400.

Both the cricket team and the rugby team had games, today. The cricket team plays every 16 days and the basketball team plays every 25 days. When will both teams have games on the same day again?

Given that the cricket team plays every 16 days and the basketball team plays every 25 days, so for finding the next time when both teams will play again we need to find the LCM of 16 and 25.
So, LCM of 16 and 25 is 400.

Sammy's company prints 16 textbooks at a time. Daniel's company prints textbooks in sets of 25 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 16 and 25.
So, LCM of 16 and 25 is 400.

Ariel exercises every 16 days and Rubel every 25 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 16 and 25 is 400.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 16 and 25 is GCF(16, 25) * LCM(16, 25) = (16 x 25) / GCF(16, 25) = 400.

Find the least number which is exactly divisible by 16 and 25.

Least number which is exactly divisible by 16 and 25 is 400.