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Least Common Multiple (LCM) of 66 and 149

The least common multiple (LCM) of 66 and 149 is 9834.

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 149?

First, calculate the GCD of 66 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 149 = 0 remainder 66
2 149 ÷ 66 = 2 remainder 17
3 66 ÷ 17 = 3 remainder 15
4 17 ÷ 15 = 1 remainder 2
5 15 ÷ 2 = 7 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1953315
36 and 138828
101 and 474747
137 and 618357
57 and 45855

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