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Least Common Multiple (LCM) of 20 and 123

The least common multiple (LCM) of 20 and 123 is 2460.

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 20 and 123?

First, calculate the GCD of 20 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 123 = 0 remainder 20
2 123 ÷ 20 = 6 remainder 3
3 20 ÷ 3 = 6 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 13716166
145 and 426090
106 and 778162
63 and 24504
188 and 7113348

Try Calculating LCM of Other Numbers







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