Least Common Multiple (LCM) of 39 and 173
The least common multiple (LCM) of 39 and 173 is 6747.
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 39 and 173?
First, calculate the GCD of 39 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 173 = 0 remainder 39 |
| 2 | 173 ÷ 39 = 4 remainder 17 |
| 3 | 39 ÷ 17 = 2 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 67 | 11792 |
| 78 and 39 | 78 |
| 175 and 166 | 29050 |
| 170 and 189 | 32130 |
| 96 and 59 | 5664 |