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Least Common Multiple (LCM) of 52 and 64

The least common multiple (LCM) of 52 and 64 is 832.

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 52 and 64?

First, calculate the GCD of 52 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 64 = 0 remainder 52
2 64 ÷ 52 = 1 remainder 12
3 52 ÷ 12 = 4 remainder 4
4 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
119 and 14617374
200 and 464600
105 and 1986930
136 and 8311288
151 and 152265

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