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Least Common Multiple (LCM) of 11 and 147

The least common multiple (LCM) of 11 and 147 is 1617.

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 11 and 147?

First, calculate the GCD of 11 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 147 = 0 remainder 11
2 147 ÷ 11 = 13 remainder 4
3 11 ÷ 4 = 2 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 485232
138 and 322208
11 and 1051155
146 and 558030
125 and 1052625

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