Least Common Multiple (LCM) of 183 and 168
The least common multiple (LCM) of 183 and 168 is 10248.
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 168?
First, calculate the GCD of 183 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 168 = 1 remainder 15 |
| 2 | 168 ÷ 15 = 11 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 119 | 1190 |
| 20 and 186 | 1860 |
| 141 and 200 | 28200 |
| 147 and 179 | 26313 |
| 67 and 194 | 12998 |