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Least Common Multiple (LCM) of 37 and 64

The least common multiple (LCM) of 37 and 64 is 2368.

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 37 and 64?

First, calculate the GCD of 37 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 37 ÷ 64 = 0 remainder 37
2 64 ÷ 37 = 1 remainder 27
3 37 ÷ 27 = 1 remainder 10
4 27 ÷ 10 = 2 remainder 7
5 10 ÷ 7 = 1 remainder 3
6 7 ÷ 3 = 2 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 1905890
30 and 1061590
103 and 727416
156 and 1383588
191 and 19236672

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