Least Common Multiple (LCM) of 175 and 182
The least common multiple (LCM) of 175 and 182 is 4550.
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 182?
First, calculate the GCD of 175 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 182 = 0 remainder 175 |
| 2 | 182 ÷ 175 = 1 remainder 7 |
| 3 | 175 ÷ 7 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 14 | 70 |
| 39 and 155 | 6045 |
| 93 and 86 | 7998 |
| 14 and 147 | 294 |
| 82 and 12 | 492 |