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Least Common Multiple (LCM) of 91 and 107

The least common multiple (LCM) of 91 and 107 is 9737.

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 107?

First, calculate the GCD of 91 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 107 = 0 remainder 91
2 107 ÷ 91 = 1 remainder 16
3 91 ÷ 16 = 5 remainder 11
4 16 ÷ 11 = 1 remainder 5
5 11 ÷ 5 = 2 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1361768
91 and 130910
39 and 1184602
49 and 1115439
191 and 6812988

Try Calculating LCM of Other Numbers







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