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Least Common Multiple (LCM) of 68 and 143

The least common multiple (LCM) of 68 and 143 is 9724.

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 143?

First, calculate the GCD of 68 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 143 = 0 remainder 68
2 143 ÷ 68 = 2 remainder 7
3 68 ÷ 7 = 9 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 985978
173 and 16628718
25 and 1994975
87 and 191653
47 and 1657755

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