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Least Common Multiple (LCM) of 86 and 61

The least common multiple (LCM) of 86 and 61 is 5246.

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 61?

First, calculate the GCD of 86 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 61 = 1 remainder 25
2 61 ÷ 25 = 2 remainder 11
3 25 ÷ 11 = 2 remainder 3
4 11 ÷ 3 = 3 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 161424
168 and 17014280
72 and 751800
62 and 1645084
31 and 1755425

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