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Least Common Multiple (LCM) of 191 and 128

The least common multiple (LCM) of 191 and 128 is 24448.

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 191 and 128?

First, calculate the GCD of 191 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 128 = 1 remainder 63
2 128 ÷ 63 = 2 remainder 2
3 63 ÷ 2 = 31 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 1122128
167 and 17228724
119 and 1402380
126 and 885544
65 and 30390

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