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Least Common Multiple (LCM) of 29 and 89

The least common multiple (LCM) of 29 and 89 is 2581.

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 29 and 89?

First, calculate the GCD of 29 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 29 ÷ 89 = 0 remainder 29
2 89 ÷ 29 = 3 remainder 2
3 29 ÷ 2 = 14 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 16929913
102 and 252550
66 and 1894158
144 and 2003600
130 and 161040

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