Least Common Multiple (LCM) of 186 and 175
The least common multiple (LCM) of 186 and 175 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 186 and 175?
First, calculate the GCD of 186 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 175 = 1 remainder 11 |
| 2 | 175 ÷ 11 = 15 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 89 | 14240 |
| 189 and 153 | 3213 |
| 13 and 24 | 312 |
| 89 and 90 | 8010 |
| 165 and 178 | 29370 |