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Least Common Multiple (LCM) of 89 and 182

The least common multiple (LCM) of 89 and 182 is 16198.

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 182?

First, calculate the GCD of 89 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 182 = 0 remainder 89
2 182 ÷ 89 = 2 remainder 4
3 89 ÷ 4 = 22 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 15810270
180 and 262340
50 and 1175850
50 and 1182950
184 and 13011960

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