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Least Common Multiple (LCM) of 194 and 149

The least common multiple (LCM) of 194 and 149 is 28906.

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 149?

First, calculate the GCD of 194 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 149 = 1 remainder 45
2 149 ÷ 45 = 3 remainder 14
3 45 ÷ 14 = 3 remainder 3
4 14 ÷ 3 = 4 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 16917745
182 and 10719474
78 and 1654290
39 and 1786942
141 and 188564

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