Least Common Multiple (LCM) of 173 and 25
The least common multiple (LCM) of 173 and 25 is 4325.
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 25?
First, calculate the GCD of 173 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 25 = 6 remainder 23 |
| 2 | 25 ÷ 23 = 1 remainder 2 |
| 3 | 23 ÷ 2 = 11 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 38 | 570 |
| 192 and 53 | 10176 |
| 140 and 180 | 1260 |
| 165 and 47 | 7755 |
| 126 and 81 | 1134 |