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Least Common Multiple (LCM) of 13 and 194

The least common multiple (LCM) of 13 and 194 is 2522.

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 13 and 194?

First, calculate the GCD of 13 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
176 and 12611088
76 and 662508
152 and 10916568
128 and 784992
84 and 312604

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