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Least Common Multiple (LCM) of 11 and 131

The least common multiple (LCM) of 11 and 131 is 1441.

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 131?

First, calculate the GCD of 11 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 131 = 0 remainder 11
2 131 ÷ 11 = 11 remainder 10
3 11 ÷ 10 = 1 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
198 and 525148
105 and 2004200
198 and 1238118
41 and 803280
156 and 16325428

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