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Least Common Multiple (LCM) of 136 and 66

The least common multiple (LCM) of 136 and 66 is 4488.

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 136 and 66?

First, calculate the GCD of 136 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 66 = 2 remainder 4
2 66 ÷ 4 = 16 remainder 2
3 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 881848
186 and 694278
147 and 111617
157 and 17827946
126 and 313906

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