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Least Common Multiple (LCM) of 194 and 141

The least common multiple (LCM) of 194 and 141 is 27354.

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 194 and 141?

First, calculate the GCD of 194 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 141 = 1 remainder 53
2 141 ÷ 53 = 2 remainder 35
3 53 ÷ 35 = 1 remainder 18
4 35 ÷ 18 = 1 remainder 17
5 18 ÷ 17 = 1 remainder 1
6 17 ÷ 1 = 17 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 625394
12 and 77924
181 and 9517195
17 and 2003400
13 and 50650

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