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Least Common Multiple (LCM) of 66 and 184

The least common multiple (LCM) of 66 and 184 is 6072.

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 66 and 184?

First, calculate the GCD of 66 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 184 = 0 remainder 66
2 184 ÷ 66 = 2 remainder 52
3 66 ÷ 52 = 1 remainder 14
4 52 ÷ 14 = 3 remainder 10
5 14 ÷ 10 = 1 remainder 4
6 10 ÷ 4 = 2 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 19413774
75 and 14610950
69 and 594071
93 and 14613578
146 and 13319418

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