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Least Common Multiple (LCM) of 11 and 197

The least common multiple (LCM) of 11 and 197 is 2167.

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 11 and 197?

First, calculate the GCD of 11 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
115 and 1603680
145 and 19227840
104 and 10520
85 and 12110285
190 and 16615770

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