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Least Common Multiple (LCM) of 128 and 138

The least common multiple (LCM) of 128 and 138 is 8832.

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 138?

First, calculate the GCD of 128 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 138 = 0 remainder 128
2 138 ÷ 128 = 1 remainder 10
3 128 ÷ 10 = 12 remainder 8
4 10 ÷ 8 = 1 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
190 and 20380
146 and 12518250
16 and 1412256
198 and 295742
64 and 1865952

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