Least Common Multiple (LCM) of 173 and 140
The least common multiple (LCM) of 173 and 140 is 24220.
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 140?
First, calculate the GCD of 173 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 140 = 1 remainder 33 |
| 2 | 140 ÷ 33 = 4 remainder 8 |
| 3 | 33 ÷ 8 = 4 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 139 | 5977 |
| 36 and 133 | 4788 |
| 10 and 77 | 770 |
| 83 and 83 | 83 |
| 189 and 150 | 9450 |