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Least Common Multiple (LCM) of 32 and 89

The least common multiple (LCM) of 32 and 89 is 2848.

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 32 and 89?

First, calculate the GCD of 32 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 32 ÷ 89 = 0 remainder 32
2 89 ÷ 32 = 2 remainder 25
3 32 ÷ 25 = 1 remainder 7
4 25 ÷ 7 = 3 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 50600
60 and 100300
38 and 973686
171 and 18531635
162 and 17814418

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