Least Common Multiple (LCM) of 181 and 99
The least common multiple (LCM) of 181 and 99 is 17919.
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 99?
First, calculate the GCD of 181 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 99 = 1 remainder 82 |
| 2 | 99 ÷ 82 = 1 remainder 17 |
| 3 | 82 ÷ 17 = 4 remainder 14 |
| 4 | 17 ÷ 14 = 1 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 93 | 18321 |
| 124 and 17 | 2108 |
| 115 and 124 | 14260 |
| 141 and 157 | 22137 |
| 144 and 143 | 20592 |