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Least Common Multiple (LCM) of 16 and 194

The least common multiple (LCM) of 16 and 194 is 1552.

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 16 and 194?

First, calculate the GCD of 16 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 194 = 0 remainder 16
2 194 ÷ 16 = 12 remainder 2
3 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 512805
15 and 17255
194 and 16131234
21 and 1531071
150 and 36900

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