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Least Common Multiple (LCM) of 59 and 37

The least common multiple (LCM) of 59 and 37 is 2183.

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 59 and 37?

First, calculate the GCD of 59 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 37 = 1 remainder 22
2 37 ÷ 22 = 1 remainder 15
3 22 ÷ 15 = 1 remainder 7
4 15 ÷ 7 = 2 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 16428372
68 and 1177956
89 and 15113439
87 and 842436
173 and 14024220

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