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Least Common Multiple (LCM) of 86 and 59

The least common multiple (LCM) of 86 and 59 is 5074.

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 86 and 59?

First, calculate the GCD of 86 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 59 = 1 remainder 27
2 59 ÷ 27 = 2 remainder 5
3 27 ÷ 5 = 5 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 14918029
45 and 1742610
176 and 682992
52 and 331716
62 and 1404340

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