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Least Common Multiple (LCM) of 90 and 36

The least common multiple (LCM) of 90 and 36 is 180.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 90 and 36?

First, calculate the GCD of 90 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 36 = 2 remainder 18
2 36 ÷ 18 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 1696084
200 and 828200
62 and 1083348
77 and 725544
96 and 922208

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