# What is LCM of 18 and 27?

LCM of 18 and 27 is 54

#### How to find lcm of two numbers

 1.   What is LCM? 2.   Steps to find LCM of 18 and 27 By Listing Method 3.   Steps to find LCM of 18 and 27 By Common Division Method 4.   Steps to find LCM of 18 and 27 By Formula 5.   Examples

#### What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 18 and 27 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(18, 27).

#### Properties of LCM

• LCM follows associative property, that means LCM(18, 27) = LCM(27, 18).
• LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
• LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
• The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 18 and 27 is 54, where 18 and 27 are less than 54.
• The LCM of two or more prime numbers is their product.

### Example: Find lcm of 18 and 27 by Listing Method

• Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486
• Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486

Hence, LCM of 18 and 27 is 54.

### Example: Find lcm of 18 and 27 by Common Division Method

 2 18 27 3 9 27 3 3 9 3 1 3 1 1

Hence, LCM of 18 and 27 is 2 x 3 x 3 x 3 = 54.

### Example: Find lcm of 18 and 27 by Formula

• GCF of 18 and 27 = 9
• LCM of 18 and 27 = (18 x 27) / 9
• => 486 / 9

Hence, LCM of 18 and 27 is 54.

#### Examples

A shopkeeper sells candies in packet of 18 and chocolates in packet of 27. 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 18 and 27.
So, LCM of 18 and 27 is 54.

Both the cricket team and the rugby team had games, today. The cricket team plays every 18 days and the basketball team plays every 27 days. When will both teams have games on the same day again?

Given that the cricket team plays every 18 days and the basketball team plays every 27 days, so for finding the next time when both teams will play again we need to find the LCM of 18 and 27.
So, LCM of 18 and 27 is 54.

Steve spends 18 dollars every day while George spends 27 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 18 and 27.
So, LCM of 18 and 27 is 54.

Sammy's company prints 18 textbooks at a time. Daniel's company prints textbooks in sets of 27 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 18 and 27.
So, LCM of 18 and 27 is 54.

Ariel exercises every 18 days and Rubel every 27 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 18 and 27 is 54.

Find the least common multiple of 18 and 27.

Least common multiple of 18 and 27 is 54.

Find the least number which is exactly divisible by 18 and 27.

Least number which is exactly divisible by 18 and 27 is 54.