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Least Common Multiple (LCM) of 58 and 91

The least common multiple (LCM) of 58 and 91 is 5278.

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 58 and 91?

First, calculate the GCD of 58 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 91 = 0 remainder 58
2 91 ÷ 58 = 1 remainder 33
3 58 ÷ 33 = 1 remainder 25
4 33 ÷ 25 = 1 remainder 8
5 25 ÷ 8 = 3 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 6512740
103 and 17618128
96 and 797584
120 and 1321320
198 and 16933462

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