Least Common Multiple (LCM) of 182 and 111
The least common multiple (LCM) of 182 and 111 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 182 and 111?
First, calculate the GCD of 182 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 111 = 1 remainder 71 |
| 2 | 111 ÷ 71 = 1 remainder 40 |
| 3 | 71 ÷ 40 = 1 remainder 31 |
| 4 | 40 ÷ 31 = 1 remainder 9 |
| 5 | 31 ÷ 9 = 3 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 112 | 1904 |
| 149 and 172 | 25628 |
| 29 and 100 | 2900 |
| 195 and 180 | 2340 |
| 190 and 127 | 24130 |