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Least Common Multiple (LCM) of 182 and 191

The least common multiple (LCM) of 182 and 191 is 34762.

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 182 and 191?

First, calculate the GCD of 182 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 182 ÷ 191 = 0 remainder 182
2 191 ÷ 182 = 1 remainder 9
3 182 ÷ 9 = 20 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 13923352
121 and 13316093
177 and 10318231
160 and 1554960
140 and 19327020

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