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Least Common Multiple (LCM) of 63 and 184

The least common multiple (LCM) of 63 and 184 is 11592.

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 184?

First, calculate the GCD of 63 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 184 = 0 remainder 63
2 184 ÷ 63 = 2 remainder 58
3 63 ÷ 58 = 1 remainder 5
4 58 ÷ 5 = 11 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 8215498
123 and 627626
126 and 17811214
87 and 19316791
120 and 692760

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