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Least Common Multiple (LCM) of 107 and 47

The least common multiple (LCM) of 107 and 47 is 5029.

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 107 and 47?

First, calculate the GCD of 107 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 47 = 2 remainder 13
2 47 ÷ 13 = 3 remainder 8
3 13 ÷ 8 = 1 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
27 and 17459
128 and 212688
142 and 16611786
13 and 31403
38 and 431634

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