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Least Common Multiple (LCM) of 128 and 95

The least common multiple (LCM) of 128 and 95 is 12160.

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 95?

First, calculate the GCD of 128 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 95 = 1 remainder 33
2 95 ÷ 33 = 2 remainder 29
3 33 ÷ 29 = 1 remainder 4
4 29 ÷ 4 = 7 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 797268
169 and 17629744
115 and 40920
80 and 1038240
175 and 551925

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