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Least Common Multiple (LCM) of 197 and 18

The least common multiple (LCM) of 197 and 18 is 3546.

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 18?

First, calculate the GCD of 197 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 18 = 10 remainder 17
2 18 ÷ 17 = 1 remainder 1
3 17 ÷ 1 = 17 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 64576
63 and 19011970
166 and 6510790
163 and 497987
126 and 1171638

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