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Least Common Multiple (LCM) of 84 and 191

The least common multiple (LCM) of 84 and 191 is 16044.

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 84 and 191?

First, calculate the GCD of 84 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 191 = 0 remainder 84
2 191 ÷ 84 = 2 remainder 23
3 84 ÷ 23 = 3 remainder 15
4 23 ÷ 15 = 1 remainder 8
5 15 ÷ 8 = 1 remainder 7
6 8 ÷ 7 = 1 remainder 1
7 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 481296
128 and 18523680
129 and 9111739
175 and 25175
45 and 1901710

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