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Least Common Multiple (LCM) of 28 and 129

The least common multiple (LCM) of 28 and 129 is 3612.

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 28 and 129?

First, calculate the GCD of 28 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 129 = 0 remainder 28
2 129 ÷ 28 = 4 remainder 17
3 28 ÷ 17 = 1 remainder 11
4 17 ÷ 11 = 1 remainder 6
5 11 ÷ 6 = 1 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 1292838
143 and 1872431
33 and 862838
183 and 8816104
55 and 1819955

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