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Least Common Multiple (LCM) of 54 and 23

The least common multiple (LCM) of 54 and 23 is 1242.

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 54 and 23?

First, calculate the GCD of 54 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 23 = 2 remainder 8
2 23 ÷ 8 = 2 remainder 7
3 8 ÷ 7 = 1 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 10311433
146 and 13519710
92 and 1346164
167 and 20033400
122 and 172074

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