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Least Common Multiple (LCM) of 128 and 54

The least common multiple (LCM) of 128 and 54 is 3456.

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 128 and 54?

First, calculate the GCD of 128 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 54 = 2 remainder 20
2 54 ÷ 20 = 2 remainder 14
3 20 ÷ 14 = 1 remainder 6
4 14 ÷ 6 = 2 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 19423862
166 and 83166
31 and 1013131
99 and 717029
60 and 1498940

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