Least Common Multiple (LCM) of 173 and 68
The least common multiple (LCM) of 173 and 68 is 11764.
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 68?
First, calculate the GCD of 173 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 68 = 2 remainder 37 |
| 2 | 68 ÷ 37 = 1 remainder 31 |
| 3 | 37 ÷ 31 = 1 remainder 6 |
| 4 | 31 ÷ 6 = 5 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 147 | 735 |
| 30 and 154 | 2310 |
| 75 and 191 | 14325 |
| 172 and 75 | 12900 |
| 42 and 26 | 546 |