Least Common Multiple (LCM) of 173 and 51
The least common multiple (LCM) of 173 and 51 is 8823.
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 51?
First, calculate the GCD of 173 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 51 = 3 remainder 20 |
| 2 | 51 ÷ 20 = 2 remainder 11 |
| 3 | 20 ÷ 11 = 1 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 41 | 4428 |
| 52 and 116 | 1508 |
| 31 and 71 | 2201 |
| 186 and 169 | 31434 |
| 193 and 152 | 29336 |