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Least Common Multiple (LCM) of 47 and 89

The least common multiple (LCM) of 47 and 89 is 4183.

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 47 and 89?

First, calculate the GCD of 47 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 89 = 0 remainder 47
2 89 ÷ 47 = 1 remainder 42
3 47 ÷ 42 = 1 remainder 5
4 42 ÷ 5 = 8 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 591239
88 and 521144
179 and 10618974
180 and 19735460
171 and 18731977

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