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Least Common Multiple (LCM) of 177 and 129

The least common multiple (LCM) of 177 and 129 is 7611.

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 177 and 129?

First, calculate the GCD of 177 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 129 = 1 remainder 48
2 129 ÷ 48 = 2 remainder 33
3 48 ÷ 33 = 1 remainder 15
4 33 ÷ 15 = 2 remainder 3
5 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 713479
15 and 115345
113 and 586554
126 and 933906
196 and 2009800

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