Least Common Multiple (LCM) of 175 and 185
The least common multiple (LCM) of 175 and 185 is 6475.
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 185?
First, calculate the GCD of 175 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 185 = 0 remainder 175 |
| 2 | 185 ÷ 175 = 1 remainder 10 |
| 3 | 175 ÷ 10 = 17 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 31 | 2635 |
| 132 and 134 | 8844 |
| 104 and 16 | 208 |
| 192 and 34 | 3264 |
| 106 and 174 | 9222 |