Least Common Multiple (LCM) of 173 and 200
The least common multiple (LCM) of 173 and 200 is 34600.
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 200?
First, calculate the GCD of 173 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 200 = 0 remainder 173 |
| 2 | 200 ÷ 173 = 1 remainder 27 |
| 3 | 173 ÷ 27 = 6 remainder 11 |
| 4 | 27 ÷ 11 = 2 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 138 | 2346 |
| 120 and 69 | 2760 |
| 150 and 85 | 2550 |
| 173 and 137 | 23701 |
| 101 and 51 | 5151 |