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Least Common Multiple (LCM) of 116 and 143

The least common multiple (LCM) of 116 and 143 is 16588.

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 116 and 143?

First, calculate the GCD of 116 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 143 = 0 remainder 116
2 143 ÷ 116 = 1 remainder 27
3 116 ÷ 27 = 4 remainder 8
4 27 ÷ 8 = 3 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 948554
177 and 10919293
50 and 1195950
14 and 1561092
19 and 551045

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