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Least Common Multiple (LCM) of 194 and 18

The least common multiple (LCM) of 194 and 18 is 1746.

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 18?

First, calculate the GCD of 194 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 18 = 10 remainder 14
2 18 ÷ 14 = 1 remainder 4
3 14 ÷ 4 = 3 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 714828
169 and 18631434
66 and 176528
173 and 18231486
54 and 1183186

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