Least Common Multiple (LCM) of 175 and 186
The least common multiple (LCM) of 175 and 186 is 32550.
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 186?
First, calculate the GCD of 175 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 186 = 0 remainder 175 |
| 2 | 186 ÷ 175 = 1 remainder 11 |
| 3 | 175 ÷ 11 = 15 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 109 | 12099 |
| 163 and 175 | 28525 |
| 186 and 109 | 20274 |
| 84 and 64 | 1344 |
| 176 and 89 | 15664 |