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Least Common Multiple (LCM) of 128 and 118

The least common multiple (LCM) of 128 and 118 is 7552.

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 118?

First, calculate the GCD of 128 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 118 = 1 remainder 10
2 118 ÷ 10 = 11 remainder 8
3 10 ÷ 8 = 1 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 1885264
21 and 1242604
149 and 15923691
57 and 1532907
103 and 717313

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