Least Common Multiple (LCM) of 183 and 190
The least common multiple (LCM) of 183 and 190 is 34770.
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 190?
First, calculate the GCD of 183 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 190 = 0 remainder 183 |
| 2 | 190 ÷ 183 = 1 remainder 7 |
| 3 | 183 ÷ 7 = 26 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 186 | 9300 |
| 178 and 81 | 14418 |
| 34 and 76 | 1292 |
| 125 and 167 | 20875 |
| 185 and 71 | 13135 |