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Least Common Multiple (LCM) of 139 and 112

The least common multiple (LCM) of 139 and 112 is 15568.

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 112?

First, calculate the GCD of 139 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 112 = 1 remainder 27
2 112 ÷ 27 = 4 remainder 4
3 27 ÷ 4 = 6 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 29290
50 and 180900
82 and 17114022
175 and 7813650
82 and 1586478

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