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Least Common Multiple (LCM) of 54 and 47

The least common multiple (LCM) of 54 and 47 is 2538.

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 47?

First, calculate the GCD of 54 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 47 = 1 remainder 7
2 47 ÷ 7 = 6 remainder 5
3 7 ÷ 5 = 1 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 353710
19 and 981862
121 and 9611616
156 and 1967644
151 and 8312533

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