Least Common Multiple (LCM) of 173 and 95
The least common multiple (LCM) of 173 and 95 is 16435.
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 95?
First, calculate the GCD of 173 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 95 = 1 remainder 78 |
| 2 | 95 ÷ 78 = 1 remainder 17 |
| 3 | 78 ÷ 17 = 4 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 45 | 7605 |
| 191 and 58 | 11078 |
| 162 and 14 | 1134 |
| 35 and 200 | 1400 |
| 105 and 111 | 3885 |