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Least Common Multiple (LCM) of 73 and 181

The least common multiple (LCM) of 73 and 181 is 13213.

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 73 and 181?

First, calculate the GCD of 73 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 181 = 0 remainder 73
2 181 ÷ 73 = 2 remainder 35
3 73 ÷ 35 = 2 remainder 3
4 35 ÷ 3 = 11 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
125 and 172125
177 and 346018
185 and 1806660
101 and 19519695
64 and 432752

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