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Least Common Multiple (LCM) of 141 and 149

The least common multiple (LCM) of 141 and 149 is 21009.

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 141 and 149?

First, calculate the GCD of 141 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 149 = 0 remainder 141
2 149 ÷ 141 = 1 remainder 8
3 141 ÷ 8 = 17 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 1843864
129 and 9812642
21 and 1441008
96 and 918736
160 and 15925440

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