Least Common Multiple (LCM) of 173 and 63
The least common multiple (LCM) of 173 and 63 is 10899.
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 63?
First, calculate the GCD of 173 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 63 = 2 remainder 47 |
| 2 | 63 ÷ 47 = 1 remainder 16 |
| 3 | 47 ÷ 16 = 2 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 171 | 7011 |
| 31 and 128 | 3968 |
| 77 and 187 | 1309 |
| 37 and 138 | 5106 |
| 15 and 51 | 255 |