Least Common Multiple (LCM) of 183 and 93
The least common multiple (LCM) of 183 and 93 is 5673.
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 183 and 93?
First, calculate the GCD of 183 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 93 = 1 remainder 90 |
| 2 | 93 ÷ 90 = 1 remainder 3 |
| 3 | 90 ÷ 3 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 117 | 7488 |
| 101 and 95 | 9595 |
| 10 and 100 | 100 |
| 40 and 195 | 1560 |
| 130 and 173 | 22490 |