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Least Common Multiple (LCM) of 128 and 139

The least common multiple (LCM) of 128 and 139 is 17792.

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 128 and 139?

First, calculate the GCD of 128 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 139 = 0 remainder 128
2 139 ÷ 128 = 1 remainder 11
3 128 ÷ 11 = 11 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 963744
159 and 9414946
153 and 111683
129 and 678643
137 and 11615892

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