Least Common Multiple (LCM) of 111 and 40
The least common multiple (LCM) of 111 and 40 is 4440.
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 40?
First, calculate the GCD of 111 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 40 = 2 remainder 31 |
| 2 | 40 ÷ 31 = 1 remainder 9 |
| 3 | 31 ÷ 9 = 3 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 143 | 17732 |
| 149 and 69 | 10281 |
| 89 and 55 | 4895 |
| 100 and 184 | 4600 |
| 134 and 191 | 25594 |