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Least Common Multiple (LCM) of 85 and 180

The least common multiple (LCM) of 85 and 180 is 3060.

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 85 and 180?

First, calculate the GCD of 85 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 85 ÷ 180 = 0 remainder 85
2 180 ÷ 85 = 2 remainder 10
3 85 ÷ 10 = 8 remainder 5
4 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 18413432
15 and 93465
102 and 1608160
117 and 17320241
77 and 16612782

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