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Least Common Multiple (LCM) of 184 and 54

The least common multiple (LCM) of 184 and 54 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 184 and 54?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
135 and 11615660
17 and 1322244
190 and 18617670
30 and 761140
179 and 11921301

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