Least Common Multiple (LCM) of 197 and 175
The least common multiple (LCM) of 197 and 175 is 34475.
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 197 and 175?
First, calculate the GCD of 197 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 175 = 1 remainder 22 |
| 2 | 175 ÷ 22 = 7 remainder 21 |
| 3 | 22 ÷ 21 = 1 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 54 | 540 |
| 129 and 89 | 11481 |
| 18 and 144 | 144 |
| 53 and 57 | 3021 |
| 157 and 198 | 31086 |