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Least Common Multiple (LCM) of 91 and 82

The least common multiple (LCM) of 91 and 82 is 7462.

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 82?

First, calculate the GCD of 91 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 82 = 1 remainder 9
2 82 ÷ 9 = 9 remainder 1
3 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 5656
17 and 1933281
69 and 17211868
153 and 1658415
172 and 10718404

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