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Least Common Multiple (LCM) of 139 and 84

The least common multiple (LCM) of 139 and 84 is 11676.

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 139 and 84?

First, calculate the GCD of 139 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 84 = 1 remainder 55
2 84 ÷ 55 = 1 remainder 29
3 55 ÷ 29 = 1 remainder 26
4 29 ÷ 26 = 1 remainder 3
5 26 ÷ 3 = 8 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 8316351
118 and 462714
40 and 1943880
17 and 1833111
109 and 555995

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