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Least Common Multiple (LCM) of 63 and 118

The least common multiple (LCM) of 63 and 118 is 7434.

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 118?

First, calculate the GCD of 63 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 118 = 0 remainder 63
2 118 ÷ 63 = 1 remainder 55
3 63 ÷ 55 = 1 remainder 8
4 55 ÷ 8 = 6 remainder 7
5 8 ÷ 7 = 1 remainder 1
6 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 18882
96 and 858160
134 and 402680
110 and 1252750
197 and 10220094

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