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Least Common Multiple (LCM) of 16 and 89

The least common multiple (LCM) of 16 and 89 is 1424.

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 16 and 89?

First, calculate the GCD of 16 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 89 = 0 remainder 16
2 89 ÷ 16 = 5 remainder 9
3 16 ÷ 9 = 1 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 9518620
149 and 6810132
164 and 9715908
134 and 16410988
142 and 16211502

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