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Least Common Multiple (LCM) of 64 and 37

The least common multiple (LCM) of 64 and 37 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 64 and 37?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
169 and 12521125
41 and 1134633
153 and 18528305
36 and 1555580
32 and 4896

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