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Least Common Multiple (LCM) of 63 and 86

The least common multiple (LCM) of 63 and 86 is 5418.

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 63 and 86?

First, calculate the GCD of 63 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 86 = 0 remainder 63
2 86 ÷ 63 = 1 remainder 23
3 63 ÷ 23 = 2 remainder 17
4 23 ÷ 17 = 1 remainder 6
5 17 ÷ 6 = 2 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 10114140
61 and 684148
112 and 758400
106 and 838798
11 and 1031133

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