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Least Common Multiple (LCM) of 91 and 13

The least common multiple (LCM) of 91 and 13 is 91.

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 13?

First, calculate the GCD of 91 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 13 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 11919516
114 and 11312882
149 and 192831
82 and 602460
45 and 180180

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