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Least Common Multiple (LCM) of 129 and 44

The least common multiple (LCM) of 129 and 44 is 5676.

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 44?

First, calculate the GCD of 129 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 44 = 2 remainder 41
2 44 ÷ 41 = 1 remainder 3
3 41 ÷ 3 = 13 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 865418
198 and 12812672
104 and 1266552
77 and 15111627
186 and 948742

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