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Least Common Multiple (LCM) of 79 and 180

The least common multiple (LCM) of 79 and 180 is 14220.

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 79 and 180?

First, calculate the GCD of 79 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 180 = 0 remainder 79
2 180 ÷ 79 = 2 remainder 22
3 79 ÷ 22 = 3 remainder 13
4 22 ÷ 13 = 1 remainder 9
5 13 ÷ 9 = 1 remainder 4
6 9 ÷ 4 = 2 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 13318221
93 and 555115
185 and 401480
60 and 511020
150 and 1864650

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