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Least Common Multiple (LCM) of 143 and 16

The least common multiple (LCM) of 143 and 16 is 2288.

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 143 and 16?

First, calculate the GCD of 143 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 16 = 8 remainder 15
2 16 ÷ 15 = 1 remainder 1
3 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1486660
128 and 11114208
105 and 10310815
86 and 19716942
100 and 743700

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