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Least Common Multiple (LCM) of 129 and 28

The least common multiple (LCM) of 129 and 28 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 129 and 28?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
133 and 18724871
58 and 1277366
122 and 11313786
158 and 355530
26 and 50650

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