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Least Common Multiple (LCM) of 139 and 28

The least common multiple (LCM) of 139 and 28 is 3892.

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 28?

First, calculate the GCD of 139 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 28 = 4 remainder 27
2 28 ÷ 27 = 1 remainder 1
3 27 ÷ 1 = 27 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 100700
189 and 14827972
91 and 17616016
16 and 991584
22 and 1441584

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