Least Common Multiple (LCM) of 93 and 194
The least common multiple (LCM) of 93 and 194 is 18042.
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 194?
First, calculate the GCD of 93 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 194 = 0 remainder 93 |
| 2 | 194 ÷ 93 = 2 remainder 8 |
| 3 | 93 ÷ 8 = 11 remainder 5 |
| 4 | 8 ÷ 5 = 1 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 |
|---|---|
| 99 and 147 | 4851 |
| 167 and 81 | 13527 |
| 45 and 105 | 315 |
| 173 and 182 | 31486 |
| 36 and 123 | 1476 |