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Least Common Multiple (LCM) of 91 and 58

The least common multiple (LCM) of 91 and 58 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 91 and 58?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
61 and 694209
135 and 18224570
143 and 65715
160 and 383040
51 and 552805

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