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Least Common Multiple (LCM) of 141 and 123

The least common multiple (LCM) of 141 and 123 is 5781.

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 141 and 123?

First, calculate the GCD of 141 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 123 = 1 remainder 18
2 123 ÷ 18 = 6 remainder 15
3 18 ÷ 15 = 1 remainder 3
4 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
65 and 342210
114 and 12514250
137 and 15220824
170 and 927820
190 and 6712730

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