Least Common Multiple (LCM) of 73 and 175
The least common multiple (LCM) of 73 and 175 is 12775.
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 73 and 175?
First, calculate the GCD of 73 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 175 = 0 remainder 73 |
| 2 | 175 ÷ 73 = 2 remainder 29 |
| 3 | 73 ÷ 29 = 2 remainder 15 |
| 4 | 29 ÷ 15 = 1 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 66 | 2046 |
| 80 and 60 | 240 |
| 27 and 95 | 2565 |
| 79 and 79 | 79 |
| 24 and 11 | 264 |