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Least Common Multiple (LCM) of 136 and 129

The least common multiple (LCM) of 136 and 129 is 17544.

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 136 and 129?

First, calculate the GCD of 136 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 129 = 1 remainder 7
2 129 ÷ 7 = 18 remainder 3
3 7 ÷ 3 = 2 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 10510920
168 and 376216
190 and 13212540
105 and 13113755
165 and 12420460

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