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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
129 and 692967
47 and 1908930
87 and 494263
160 and 1229760
172 and 8915308

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