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Least Common Multiple (LCM) of 92 and 180

The least common multiple (LCM) of 92 and 180 is 4140.

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 92 and 180?

First, calculate the GCD of 92 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 180 = 0 remainder 92
2 180 ÷ 92 = 1 remainder 88
3 92 ÷ 88 = 1 remainder 4
4 88 ÷ 4 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 1659570
86 and 1119546
149 and 395811
158 and 17127018
78 and 7878

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