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Least Common Multiple (LCM) of 13 and 111

The least common multiple (LCM) of 13 and 111 is 1443.

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 111?

First, calculate the GCD of 13 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 111 = 0 remainder 13
2 111 ÷ 13 = 8 remainder 7
3 13 ÷ 7 = 1 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 555280
81 and 1022754
31 and 371147
178 and 16329014
24 and 1224

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