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Least Common Multiple (LCM) of 68 and 123

The least common multiple (LCM) of 68 and 123 is 8364.

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 68 and 123?

First, calculate the GCD of 68 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
147 and 561176
167 and 18330561
169 and 19232448
175 and 50350
89 and 18616554

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