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Least Common Multiple (LCM) of 180 and 184

The least common multiple (LCM) of 180 and 184 is 8280.

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 180 and 184?

First, calculate the GCD of 180 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 180 ÷ 184 = 0 remainder 180
2 184 ÷ 180 = 1 remainder 4
3 180 ÷ 4 = 45 remainder 0

Examples of LCM Calculations

NumbersLCM
31 and 772387
143 and 1872431
77 and 382926
100 and 272700
150 and 1702550

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