Least Common Multiple (LCM) of 174 and 183
The least common multiple (LCM) of 174 and 183 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 174 and 183?
First, calculate the GCD of 174 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 183 = 0 remainder 174 |
| 2 | 183 ÷ 174 = 1 remainder 9 |
| 3 | 174 ÷ 9 = 19 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 146 | 13286 |
| 118 and 85 | 10030 |
| 185 and 89 | 16465 |
| 85 and 112 | 9520 |
| 185 and 186 | 34410 |