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 |
|---|---|
| 106 and 25 | 2650 |
| 101 and 132 | 13332 |
| 140 and 22 | 1540 |
| 133 and 148 | 19684 |
| 77 and 128 | 9856 |