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Least Common Multiple (LCM) of 38 and 141

The least common multiple (LCM) of 38 and 141 is 5358.

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 38 and 141?

First, calculate the GCD of 38 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 141 = 0 remainder 38
2 141 ÷ 38 = 3 remainder 27
3 38 ÷ 27 = 1 remainder 11
4 27 ÷ 11 = 2 remainder 5
5 11 ÷ 5 = 2 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 1603680
40 and 371480
77 and 13510395
162 and 685508
71 and 271917

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