Least Common Multiple (LCM) of 181 and 111
The least common multiple (LCM) of 181 and 111 is 20091.
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 181 and 111?
First, calculate the GCD of 181 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 111 = 1 remainder 70 |
| 2 | 111 ÷ 70 = 1 remainder 41 |
| 3 | 70 ÷ 41 = 1 remainder 29 |
| 4 | 41 ÷ 29 = 1 remainder 12 |
| 5 | 29 ÷ 12 = 2 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 136 | 14008 |
| 15 and 19 | 285 |
| 166 and 78 | 6474 |
| 145 and 171 | 24795 |
| 74 and 177 | 13098 |