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Least Common Multiple (LCM) of 11 and 194

The least common multiple (LCM) of 11 and 194 is 2134.

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 194?

First, calculate the GCD of 11 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 194 = 0 remainder 11
2 194 ÷ 11 = 17 remainder 7
3 11 ÷ 7 = 1 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 942538
153 and 1417191
48 and 472256
144 and 1235904
80 and 11880

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