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Least Common Multiple (LCM) of 91 and 120

The least common multiple (LCM) of 91 and 120 is 10920.

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 120?

First, calculate the GCD of 91 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 120 = 0 remainder 91
2 120 ÷ 91 = 1 remainder 29
3 91 ÷ 29 = 3 remainder 4
4 29 ÷ 4 = 7 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 211995
58 and 1518758
175 and 1473675
34 and 1434862
173 and 549342

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