Least Common Multiple (LCM) of 195 and 175
The least common multiple (LCM) of 195 and 175 is 6825.
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 195 and 175?
First, calculate the GCD of 195 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 175 = 1 remainder 20 |
| 2 | 175 ÷ 20 = 8 remainder 15 |
| 3 | 20 ÷ 15 = 1 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 167 | 10020 |
| 57 and 94 | 5358 |
| 135 and 50 | 1350 |
| 149 and 175 | 26075 |
| 100 and 77 | 7700 |