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Least Common Multiple (LCM) of 129 and 133

The least common multiple (LCM) of 129 and 133 is 17157.

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 133?

First, calculate the GCD of 129 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 133 = 0 remainder 129
2 133 ÷ 129 = 1 remainder 4
3 129 ÷ 4 = 32 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 888888
36 and 21252
26 and 1361768
187 and 9317391
41 and 1164756

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