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Least Common Multiple (LCM) of 193 and 17

The least common multiple (LCM) of 193 and 17 is 3281.

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 193 and 17?

First, calculate the GCD of 193 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 17 = 11 remainder 6
2 17 ÷ 6 = 2 remainder 5
3 6 ÷ 5 = 1 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 261638
74 and 14110434
38 and 1102090
171 and 15855
174 and 1538874

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