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Least Common Multiple (LCM) of 86 and 71

The least common multiple (LCM) of 86 and 71 is 6106.

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 71?

First, calculate the GCD of 86 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 71 = 1 remainder 15
2 71 ÷ 15 = 4 remainder 11
3 15 ÷ 11 = 1 remainder 4
4 11 ÷ 4 = 2 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 1669794
119 and 14238
79 and 1159085
79 and 13410586
88 and 17515400

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