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Least Common Multiple (LCM) of 11 and 199

The least common multiple (LCM) of 11 and 199 is 2189.

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 199?

First, calculate the GCD of 11 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 199 = 0 remainder 11
2 199 ÷ 11 = 18 remainder 1
3 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 16116261
30 and 1542310
108 and 859180
62 and 533286
166 and 457470

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