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Least Common Multiple (LCM) of 64 and 138

The least common multiple (LCM) of 64 and 138 is 4416.

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 64 and 138?

First, calculate the GCD of 64 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 64 ÷ 138 = 0 remainder 64
2 138 ÷ 64 = 2 remainder 10
3 64 ÷ 10 = 6 remainder 4
4 10 ÷ 4 = 2 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
65 and 1902470
150 and 443300
22 and 62682
123 and 14217466
183 and 356405

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