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Least Common Multiple (LCM) of 63 and 134

The least common multiple (LCM) of 63 and 134 is 8442.

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 134?

First, calculate the GCD of 63 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 134 = 0 remainder 63
2 134 ÷ 63 = 2 remainder 8
3 63 ÷ 8 = 7 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 1982178
33 and 411353
31 and 1334123
171 and 8314193
144 and 762736

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