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Least Common Multiple (LCM) of 123 and 31

The least common multiple (LCM) of 123 and 31 is 3813.

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 123 and 31?

First, calculate the GCD of 123 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 31 = 3 remainder 30
2 31 ÷ 30 = 1 remainder 1
3 30 ÷ 1 = 30 remainder 0

Examples of LCM Calculations

NumbersLCM
53 and 653445
130 and 212730
115 and 617015
123 and 17922017
162 and 14523490

Try Calculating LCM of Other Numbers







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