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Least Common Multiple (LCM) of 11 and 166

The least common multiple (LCM) of 11 and 166 is 1826.

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 166?

First, calculate the GCD of 11 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 166 = 0 remainder 11
2 166 ÷ 11 = 15 remainder 1
3 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 16410332
199 and 10821492
15 and 69345
51 and 1983366
70 and 513570

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