What is the LCM of 72 and 36?

What's the Least Common Multiple (LCM) of 72 and 36?

Answer

LCM of 72 and 36 is

72

First common multiples: 72, 144, 216, …

As a common denominator: multiply the top and bottom of y/36 by 2.

36 divides 72 (72 ÷ 36 = 2), so the LCM is the larger number itself.

72 = 2³ × 3²

36 = 2² × 3²

Prime	72	36	Highest power
2	2³	2²	2³
3	3²	3²	3²

LCM = 2³ × 3² = 72

Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Multiples of a Number - List the first 10 multiples of any number from 1 to 999

Share This Calculation

Print

https://calculat.io/en/number/least-common-multiple-lcm-of/72--36

<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/72--36">What is the LCM of 72 and 36? - Calculatio</a>

Facebook

Twitter

Viber

Email

https://calculat.io/en/number/least-common-multiple-lcm-of/72--36/generated.jpg