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Least Common Multiple (LCM) of 54 and 184

The least common multiple (LCM) of 54 and 184 is 4968.

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 184?

First, calculate the GCD of 54 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 184 = 0 remainder 54
2 184 ÷ 54 = 3 remainder 22
3 54 ÷ 22 = 2 remainder 10
4 22 ÷ 10 = 2 remainder 2
5 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 743182
158 and 12810112
178 and 14412816
169 and 7512675
72 and 1521368

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