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Least Common Multiple (LCM) of 59 and 129

The least common multiple (LCM) of 59 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 59 and 129?

First, calculate the GCD of 59 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 129 = 0 remainder 59
2 129 ÷ 59 = 2 remainder 11
3 59 ÷ 11 = 5 remainder 4
4 11 ÷ 4 = 2 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 1124816
27 and 912457
194 and 14614162
145 and 14721315
174 and 13011310

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