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Least Common Multiple (LCM) of 43 and 123

The least common multiple (LCM) of 43 and 123 is 5289.

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 43 and 123?

First, calculate the GCD of 43 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 43 ÷ 123 = 0 remainder 43
2 123 ÷ 43 = 2 remainder 37
3 43 ÷ 37 = 1 remainder 6
4 37 ÷ 6 = 6 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 81162
54 and 36108
104 and 24312
76 and 1505700
110 and 374070

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