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Least Common Multiple (LCM) of 24 and 63

The least common multiple (LCM) of 24 and 63 is 504.

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 24 and 63?

First, calculate the GCD of 24 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 63 = 0 remainder 24
2 63 ÷ 24 = 2 remainder 15
3 24 ÷ 15 = 1 remainder 9
4 15 ÷ 9 = 1 remainder 6
5 9 ÷ 6 = 1 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 431290
163 and 17929177
161 and 161161
73 and 15111023
158 and 13810902

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