Least Common Multiple (LCM) of 173 and 174
The least common multiple (LCM) of 173 and 174 is 30102.
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 173 and 174?
First, calculate the GCD of 173 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 174 = 0 remainder 173 |
| 2 | 174 ÷ 173 = 1 remainder 1 |
| 3 | 173 ÷ 1 = 173 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 136 | 22440 |
| 92 and 115 | 460 |
| 172 and 144 | 6192 |
| 74 and 20 | 740 |
| 141 and 44 | 6204 |