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Least Common Multiple (LCM) of 20 and 129

The least common multiple (LCM) of 20 and 129 is 2580.

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 129?

First, calculate the GCD of 20 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 129 = 0 remainder 20
2 129 ÷ 20 = 6 remainder 9
3 20 ÷ 9 = 2 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 981666
23 and 115115
43 and 251075
147 and 14521315
60 and 1151380

Try Calculating LCM of Other Numbers







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