Least Common Multiple (LCM) of 173 and 50
The least common multiple (LCM) of 173 and 50 is 8650.
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 50?
First, calculate the GCD of 173 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 50 = 3 remainder 23 |
| 2 | 50 ÷ 23 = 2 remainder 4 |
| 3 | 23 ÷ 4 = 5 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 52 | 2652 |
| 44 and 32 | 352 |
| 50 and 63 | 3150 |
| 166 and 196 | 16268 |
| 145 and 168 | 24360 |