Least Common Multiple (LCM) of 145 and 173
The least common multiple (LCM) of 145 and 173 is 25085.
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 145 and 173?
First, calculate the GCD of 145 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 173 = 0 remainder 145 |
| 2 | 173 ÷ 145 = 1 remainder 28 |
| 3 | 145 ÷ 28 = 5 remainder 5 |
| 4 | 28 ÷ 5 = 5 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 35 | 105 |
| 35 and 114 | 3990 |
| 149 and 161 | 23989 |
| 61 and 52 | 3172 |
| 190 and 91 | 17290 |