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Least Common Multiple (LCM) of 31 and 180

The least common multiple (LCM) of 31 and 180 is 5580.

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 31 and 180?

First, calculate the GCD of 31 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 31 ÷ 180 = 0 remainder 31
2 180 ÷ 31 = 5 remainder 25
3 31 ÷ 25 = 1 remainder 6
4 25 ÷ 6 = 4 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 853655
31 and 32992
28 and 832324
39 and 20780
126 and 764788

Try Calculating LCM of Other Numbers







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