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 |
|---|---|
| 127 and 24 | 3048 |
| 61 and 80 | 4880 |
| 12 and 192 | 192 |
| 98 and 89 | 8722 |
| 164 and 26 | 2132 |