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Least Common Multiple (LCM) of 66 and 147

The least common multiple (LCM) of 66 and 147 is 3234.

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 147?

First, calculate the GCD of 66 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 147 = 0 remainder 66
2 147 ÷ 66 = 2 remainder 15
3 66 ÷ 15 = 4 remainder 6
4 15 ÷ 6 = 2 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1401820
139 and 139139
64 and 1036592
40 and 150600
165 and 9415510

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