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Least Common Multiple (LCM) of 197 and 17

The least common multiple (LCM) of 197 and 17 is 3349.

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 197 and 17?

First, calculate the GCD of 197 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 17 = 11 remainder 10
2 17 ÷ 10 = 1 remainder 7
3 10 ÷ 7 = 1 remainder 3
4 7 ÷ 3 = 2 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 85170
145 and 527540
26 and 1112886
109 and 19621364
192 and 262496

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