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Least Common Multiple (LCM) of 102 and 184

The least common multiple (LCM) of 102 and 184 is 9384.

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 102 and 184?

First, calculate the GCD of 102 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 184 = 0 remainder 102
2 184 ÷ 102 = 1 remainder 82
3 102 ÷ 82 = 1 remainder 20
4 82 ÷ 20 = 4 remainder 2
5 20 ÷ 2 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
58 and 19911542
147 and 314557
185 and 15829230
54 and 381026
45 and 12180

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