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Least Common Multiple (LCM) of 36 and 136

The least common multiple (LCM) of 36 and 136 is 1224.

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 36 and 136?

First, calculate the GCD of 36 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 136 = 0 remainder 36
2 136 ÷ 36 = 3 remainder 28
3 36 ÷ 28 = 1 remainder 8
4 28 ÷ 8 = 3 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 1737093
140 and 12317220
76 and 937068
23 and 1132599
48 and 1501200

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