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Least Common Multiple (LCM) of 129 and 177

The least common multiple (LCM) of 129 and 177 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 129 and 177?

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

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 177 = 0 remainder 129
2 177 ÷ 129 = 1 remainder 48
3 129 ÷ 48 = 2 remainder 33
4 48 ÷ 33 = 1 remainder 15
5 33 ÷ 15 = 2 remainder 3
6 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 55605
21 and 611281
190 and 12924510
183 and 13925437
65 and 936045

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