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Least Common Multiple (LCM) of 89 and 34

The least common multiple (LCM) of 89 and 34 is 3026.

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 89 and 34?

First, calculate the GCD of 89 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 34 = 2 remainder 21
2 34 ÷ 21 = 1 remainder 13
3 21 ÷ 13 = 1 remainder 8
4 13 ÷ 8 = 1 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 14510440
37 and 16592
80 and 514080
111 and 1324884
50 and 125250

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