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Least Common Multiple (LCM) of 91 and 180

The least common multiple (LCM) of 91 and 180 is 16380.

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 91 and 180?

First, calculate the GCD of 91 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 180 = 0 remainder 91
2 180 ÷ 91 = 1 remainder 89
3 91 ÷ 89 = 1 remainder 2
4 89 ÷ 2 = 44 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 175525
28 and 611708
173 and 10117473
134 and 14938
73 and 856205

Try Calculating LCM of Other Numbers







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