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Least Common Multiple (LCM) of 37 and 163

The least common multiple (LCM) of 37 and 163 is 6031.

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 163?

First, calculate the GCD of 37 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 37 ÷ 163 = 0 remainder 37
2 163 ÷ 37 = 4 remainder 15
3 37 ÷ 15 = 2 remainder 7
4 15 ÷ 7 = 2 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 1932509
92 and 582668
105 and 1102310
91 and 19217472
115 and 1804140

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