Least Common Multiple (LCM) of 111 and 182
The least common multiple (LCM) of 111 and 182 is 20202.
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 182?
First, calculate the GCD of 111 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 182 = 0 remainder 111 |
| 2 | 182 ÷ 111 = 1 remainder 71 |
| 3 | 111 ÷ 71 = 1 remainder 40 |
| 4 | 71 ÷ 40 = 1 remainder 31 |
| 5 | 40 ÷ 31 = 1 remainder 9 |
| 6 | 31 ÷ 9 = 3 remainder 4 |
| 7 | 9 ÷ 4 = 2 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 146 | 8322 |
| 182 and 160 | 14560 |
| 153 and 153 | 153 |
| 107 and 84 | 8988 |
| 55 and 79 | 4345 |