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Least Common Multiple (LCM) of 57 and 64

The least common multiple (LCM) of 57 and 64 is 3648.

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 57 and 64?

First, calculate the GCD of 57 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 64 = 0 remainder 57
2 64 ÷ 57 = 1 remainder 7
3 57 ÷ 7 = 8 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 994257
91 and 908190
142 and 1188378
85 and 1048840
64 and 734672

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