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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
41 and 13533
18 and 1181062
192 and 841344
12 and 106636
159 and 7111289

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