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Least Common Multiple (LCM) of 41 and 139

The least common multiple (LCM) of 41 and 139 is 5699.

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 41 and 139?

First, calculate the GCD of 41 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 139 = 0 remainder 41
2 139 ÷ 41 = 3 remainder 16
3 41 ÷ 16 = 2 remainder 9
4 16 ÷ 9 = 1 remainder 7
5 9 ÷ 7 = 1 remainder 2
6 7 ÷ 2 = 3 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
50 and 814050
190 and 7313870
147 and 84588
187 and 1531683
188 and 17933652

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