Least Common Multiple (LCM) of 183 and 174
The least common multiple (LCM) of 183 and 174 is 10614.
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 174?
First, calculate the GCD of 183 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 174 = 1 remainder 9 |
| 2 | 174 ÷ 9 = 19 remainder 3 |
| 3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 111 | 12765 |
| 168 and 197 | 33096 |
| 67 and 43 | 2881 |
| 71 and 157 | 11147 |
| 83 and 103 | 8549 |