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Least Common Multiple (LCM) of 123 and 191

The least common multiple (LCM) of 123 and 191 is 23493.

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 123 and 191?

First, calculate the GCD of 123 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 191 = 0 remainder 123
2 191 ÷ 123 = 1 remainder 68
3 123 ÷ 68 = 1 remainder 55
4 68 ÷ 55 = 1 remainder 13
5 55 ÷ 13 = 4 remainder 3
6 13 ÷ 3 = 4 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 16522605
42 and 1441008
132 and 176528
141 and 14019740
123 and 14317589

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