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Least Common Multiple (LCM) of 128 and 101

The least common multiple (LCM) of 128 and 101 is 12928.

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 101?

First, calculate the GCD of 128 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 101 = 1 remainder 27
2 101 ÷ 27 = 3 remainder 20
3 27 ÷ 20 = 1 remainder 7
4 20 ÷ 7 = 2 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 1188850
108 and 18720196
150 and 16412300
197 and 13326201
176 and 2004400

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