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Least Common Multiple (LCM) of 191 and 126

The least common multiple (LCM) of 191 and 126 is 24066.

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 126?

First, calculate the GCD of 191 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 126 = 1 remainder 65
2 126 ÷ 65 = 1 remainder 61
3 65 ÷ 61 = 1 remainder 4
4 61 ÷ 4 = 15 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 8311122
131 and 192489
179 and 6711993
77 and 15812166
33 and 17561

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