Least Common Multiple (LCM) of 173 and 52
The least common multiple (LCM) of 173 and 52 is 8996.
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 52?
First, calculate the GCD of 173 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 52 = 3 remainder 17 |
| 2 | 52 ÷ 17 = 3 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 23 | 2507 |
| 50 and 10 | 50 |
| 101 and 29 | 2929 |
| 39 and 39 | 39 |
| 97 and 189 | 18333 |