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Least Common Multiple (LCM) of 151 and 79

The least common multiple (LCM) of 151 and 79 is 11929.

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 151 and 79?

First, calculate the GCD of 151 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 79 = 1 remainder 72
2 79 ÷ 72 = 1 remainder 7
3 72 ÷ 7 = 10 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 17620240
89 and 15513795
138 and 331518
37 and 933441
156 and 1658580

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