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Least Common Multiple (LCM) of 101 and 37

The least common multiple (LCM) of 101 and 37 is 3737.

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 101 and 37?

First, calculate the GCD of 101 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 37 = 2 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
97 and 19518915
168 and 826888
186 and 93186
152 and 1603040
123 and 41123

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