Least Common Multiple (LCM) of 111 and 150
The least common multiple (LCM) of 111 and 150 is 5550.
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 150?
First, calculate the GCD of 111 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 150 = 0 remainder 111 |
| 2 | 150 ÷ 111 = 1 remainder 39 |
| 3 | 111 ÷ 39 = 2 remainder 33 |
| 4 | 39 ÷ 33 = 1 remainder 6 |
| 5 | 33 ÷ 6 = 5 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 140 | 7980 |
| 76 and 16 | 304 |
| 168 and 154 | 1848 |
| 41 and 191 | 7831 |
| 91 and 49 | 637 |