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Least Common Multiple (LCM) of 64 and 65

The least common multiple (LCM) of 64 and 65 is 4160.

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 65?

First, calculate the GCD of 64 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 64 ÷ 65 = 0 remainder 64
2 65 ÷ 64 = 1 remainder 1
3 64 ÷ 1 = 64 remainder 0

Examples of LCM Calculations

NumbersLCM
129 and 13617544
191 and 519741
69 and 342346
118 and 1669794
93 and 1324092

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