Least Common Multiple (LCM) of 175 and 73
The least common multiple (LCM) of 175 and 73 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 175 and 73?
First, calculate the GCD of 175 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 73 = 2 remainder 29 |
| 2 | 73 ÷ 29 = 2 remainder 15 |
| 3 | 29 ÷ 15 = 1 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 198 | 3366 |
| 98 and 71 | 6958 |
| 37 and 98 | 3626 |
| 93 and 26 | 2418 |
| 189 and 23 | 4347 |