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Least Common Multiple (LCM) of 129 and 154

The least common multiple (LCM) of 129 and 154 is 19866.

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 154?

First, calculate the GCD of 129 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 154 = 0 remainder 129
2 154 ÷ 129 = 1 remainder 25
3 129 ÷ 25 = 5 remainder 4
4 25 ÷ 4 = 6 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 315487
99 and 19018810
51 and 39663
193 and 295597
48 and 33528

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