Least Common Multiple (LCM) of 111 and 132
The least common multiple (LCM) of 111 and 132 is 4884.
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 111 and 132?
First, calculate the GCD of 111 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 132 = 0 remainder 111 |
| 2 | 132 ÷ 111 = 1 remainder 21 |
| 3 | 111 ÷ 21 = 5 remainder 6 |
| 4 | 21 ÷ 6 = 3 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 169 | 3042 |
| 149 and 184 | 27416 |
| 146 and 155 | 22630 |
| 148 and 160 | 5920 |
| 84 and 31 | 2604 |