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Least Common Multiple (LCM) of 63 and 23

The least common multiple (LCM) of 63 and 23 is 1449.

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 23?

First, calculate the GCD of 63 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 23 = 2 remainder 17
2 23 ÷ 17 = 1 remainder 6
3 17 ÷ 6 = 2 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 19022990
39 and 1922496
157 and 11818526
170 and 335610
78 and 751950

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