Least Common Multiple (LCM) of 175 and 95
The least common multiple (LCM) of 175 and 95 is 3325.
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 95?
First, calculate the GCD of 175 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 95 = 1 remainder 80 |
| 2 | 95 ÷ 80 = 1 remainder 15 |
| 3 | 80 ÷ 15 = 5 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 136 | 13192 |
| 116 and 159 | 18444 |
| 124 and 180 | 5580 |
| 25 and 55 | 275 |
| 177 and 23 | 4071 |