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Least Common Multiple (LCM) of 13 and 132

The least common multiple (LCM) of 13 and 132 is 1716.

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 13 and 132?

First, calculate the GCD of 13 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 132 = 0 remainder 13
2 132 ÷ 13 = 10 remainder 2
3 13 ÷ 2 = 6 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 1071391
62 and 481488
187 and 5710659
159 and 19330687
189 and 8215498

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