Least Common Multiple (LCM) of 173 and 190
The least common multiple (LCM) of 173 and 190 is 32870.
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 190?
First, calculate the GCD of 173 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 190 = 0 remainder 173 |
| 2 | 190 ÷ 173 = 1 remainder 17 |
| 3 | 173 ÷ 17 = 10 remainder 3 |
| 4 | 17 ÷ 3 = 5 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 51 | 8007 |
| 39 and 138 | 1794 |
| 151 and 21 | 3171 |
| 55 and 65 | 715 |
| 150 and 37 | 5550 |