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Least Common Multiple (LCM) of 66 and 185

The least common multiple (LCM) of 66 and 185 is 12210.

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 185?

First, calculate the GCD of 66 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 185 = 0 remainder 66
2 185 ÷ 66 = 2 remainder 53
3 66 ÷ 53 = 1 remainder 13
4 53 ÷ 13 = 4 remainder 1
5 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 14326169
182 and 11610556
18 and 1661494
186 and 1745394
13 and 73949

Try Calculating LCM of Other Numbers







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