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Least Common Multiple (LCM) of 45 and 180

The least common multiple (LCM) of 45 and 180 is 180.

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 45 and 180?

First, calculate the GCD of 45 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
178 and 625518
63 and 261638
78 and 812106
75 and 594425
59 and 19311387

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