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Least Common Multiple (LCM) of 116 and 36

The least common multiple (LCM) of 116 and 36 is 1044.

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 116 and 36?

First, calculate the GCD of 116 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 36 = 3 remainder 8
2 36 ÷ 8 = 4 remainder 4
3 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
60 and 311860
78 and 1052730
118 and 10111918
191 and 6712797
180 and 1418460

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