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Least Common Multiple (LCM) of 14 and 194

The least common multiple (LCM) of 14 and 194 is 1358.

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 14 and 194?

First, calculate the GCD of 14 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 14 ÷ 194 = 0 remainder 14
2 194 ÷ 14 = 13 remainder 12
3 14 ÷ 12 = 1 remainder 2
4 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 16211826
35 and 541890
134 and 503350
40 and 941880
129 and 843612

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