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Least Common Multiple (LCM) of 111 and 128

The least common multiple (LCM) of 111 and 128 is 14208.

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 111 and 128?

First, calculate the GCD of 111 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 128 = 0 remainder 111
2 128 ÷ 111 = 1 remainder 17
3 111 ÷ 17 = 6 remainder 9
4 17 ÷ 9 = 1 remainder 8
5 9 ÷ 8 = 1 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 1507950
159 and 19810494
72 and 17312456
65 and 573705
139 and 11015290

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