Least Common Multiple (LCM) of 183 and 169
The least common multiple (LCM) of 183 and 169 is 30927.
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 169?
First, calculate the GCD of 183 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 169 = 1 remainder 14 |
| 2 | 169 ÷ 14 = 12 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 71 | 9372 |
| 48 and 84 | 336 |
| 132 and 15 | 660 |
| 174 and 49 | 8526 |
| 11 and 50 | 550 |