Least Common Multiple (LCM) of 111 and 143
The least common multiple (LCM) of 111 and 143 is 15873.
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 143?
First, calculate the GCD of 111 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 143 = 0 remainder 111 |
| 2 | 143 ÷ 111 = 1 remainder 32 |
| 3 | 111 ÷ 32 = 3 remainder 15 |
| 4 | 32 ÷ 15 = 2 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 29 | 5249 |
| 11 and 157 | 1727 |
| 188 and 26 | 2444 |
| 109 and 27 | 2943 |
| 199 and 195 | 38805 |