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Least Common Multiple (LCM) of 128 and 87

The least common multiple (LCM) of 128 and 87 is 11136.

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 87?

First, calculate the GCD of 128 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 87 = 1 remainder 41
2 87 ÷ 41 = 2 remainder 5
3 41 ÷ 5 = 8 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
57 and 931767
138 and 9713386
123 and 164492
128 and 56896
168 and 12168

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