Least Common Multiple (LCM) of 175 and 188
The least common multiple (LCM) of 175 and 188 is 32900.
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 188?
First, calculate the GCD of 175 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 188 = 0 remainder 175 |
| 2 | 188 ÷ 175 = 1 remainder 13 |
| 3 | 175 ÷ 13 = 13 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 20 | 260 |
| 172 and 20 | 860 |
| 55 and 121 | 605 |
| 67 and 185 | 12395 |
| 55 and 179 | 9845 |