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Least Common Multiple (LCM) of 129 and 13

The least common multiple (LCM) of 129 and 13 is 1677.

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 13?

First, calculate the GCD of 129 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 13 = 9 remainder 12
2 13 ÷ 12 = 1 remainder 1
3 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 9714550
154 and 13010010
199 and 11923681
170 and 335610
159 and 18729733

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