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Least Common Multiple (LCM) of 141 and 79

The least common multiple (LCM) of 141 and 79 is 11139.

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 79?

First, calculate the GCD of 141 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 79 = 1 remainder 62
2 79 ÷ 62 = 1 remainder 17
3 62 ÷ 17 = 3 remainder 11
4 17 ÷ 11 = 1 remainder 6
5 11 ÷ 6 = 1 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 447524
43 and 1064558
53 and 5353
87 and 1835307
83 and 12710541

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