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Least Common Multiple (LCM) of 82 and 181

The least common multiple (LCM) of 82 and 181 is 14842.

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 82 and 181?

First, calculate the GCD of 82 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 181 = 0 remainder 82
2 181 ÷ 82 = 2 remainder 17
3 82 ÷ 17 = 4 remainder 14
4 17 ÷ 14 = 1 remainder 3
5 14 ÷ 3 = 4 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 476815
36 and 1182124
18 and 192576
71 and 161136
149 and 12819072

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