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Least Common Multiple (LCM) of 184 and 51

The least common multiple (LCM) of 184 and 51 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 184 and 51?

First, calculate the GCD of 184 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 184 ÷ 51 = 3 remainder 31
2 51 ÷ 31 = 1 remainder 20
3 31 ÷ 20 = 1 remainder 11
4 20 ÷ 11 = 1 remainder 9
5 11 ÷ 9 = 1 remainder 2
6 9 ÷ 2 = 4 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 549342
81 and 15512555
100 and 1684200
158 and 19931442
172 and 16328036

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