Least Common Multiple (LCM) of 18 and 111
The least common multiple (LCM) of 18 and 111 is 666.
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 18 and 111?
First, calculate the GCD of 18 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 111 = 0 remainder 18 |
| 2 | 111 ÷ 18 = 6 remainder 3 |
| 3 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 119 | 1309 |
| 193 and 33 | 6369 |
| 150 and 179 | 26850 |
| 13 and 137 | 1781 |
| 178 and 171 | 30438 |