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Least Common Multiple (LCM) of 191 and 155

The least common multiple (LCM) of 191 and 155 is 29605.

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 191 and 155?

First, calculate the GCD of 191 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 155 = 1 remainder 36
2 155 ÷ 36 = 4 remainder 11
3 36 ÷ 11 = 3 remainder 3
4 11 ÷ 3 = 3 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 467590
197 and 11522655
65 and 211365
56 and 196392
34 and 1642788

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