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Least Common Multiple (LCM) of 18 and 63

The least common multiple (LCM) of 18 and 63 is 126.

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 18 and 63?

First, calculate the GCD of 18 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 63 = 0 remainder 18
2 63 ÷ 18 = 3 remainder 9
3 18 ÷ 9 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 11720124
63 and 108756
29 and 1233567
57 and 1773363
89 and 645696

Try Calculating LCM of Other Numbers







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