Least Common Multiple (LCM) of 173 and 39
The least common multiple (LCM) of 173 and 39 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 173 and 39?
First, calculate the GCD of 173 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 39 = 4 remainder 17 |
| 2 | 39 ÷ 17 = 2 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 25 | 200 |
| 132 and 113 | 14916 |
| 127 and 76 | 9652 |
| 136 and 190 | 12920 |
| 48 and 171 | 2736 |