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Least Common Multiple (LCM) of 129 and 100

The least common multiple (LCM) of 129 and 100 is 12900.

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 129 and 100?

First, calculate the GCD of 129 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 100 = 1 remainder 29
2 100 ÷ 29 = 3 remainder 13
3 29 ÷ 13 = 2 remainder 3
4 13 ÷ 3 = 4 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 18316287
134 and 1067102
75 and 1279525
166 and 14123406
92 and 2392

Try Calculating LCM of Other Numbers







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