Least Common Multiple (LCM) of 93 and 181
The least common multiple (LCM) of 93 and 181 is 16833.
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 93 and 181?
First, calculate the GCD of 93 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 181 = 0 remainder 93 |
| 2 | 181 ÷ 93 = 1 remainder 88 |
| 3 | 93 ÷ 88 = 1 remainder 5 |
| 4 | 88 ÷ 5 = 17 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 129 | 8514 |
| 197 and 71 | 13987 |
| 99 and 98 | 9702 |
| 141 and 15 | 705 |
| 93 and 19 | 1767 |