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Least Common Multiple (LCM) of 91 and 122

The least common multiple (LCM) of 91 and 122 is 11102.

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 122?

First, calculate the GCD of 91 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 122 = 0 remainder 91
2 122 ÷ 91 = 1 remainder 31
3 91 ÷ 31 = 2 remainder 29
4 31 ÷ 29 = 1 remainder 2
5 29 ÷ 2 = 14 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 9911088
135 and 567560
146 and 15722922
23 and 19437
116 and 704060

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