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Least Common Multiple (LCM) of 19 and 181

The least common multiple (LCM) of 19 and 181 is 3439.

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 19 and 181?

First, calculate the GCD of 19 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 181 = 0 remainder 19
2 181 ÷ 19 = 9 remainder 10
3 19 ÷ 10 = 1 remainder 9
4 10 ÷ 9 = 1 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 18198
96 and 1964704
58 and 1083132
56 and 1236888
73 and 574161

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