Least Common Multiple (LCM) of 32 and 186
The least common multiple (LCM) of 32 and 186 is 2976.
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 32 and 186?
First, calculate the GCD of 32 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 186 = 0 remainder 32 |
| 2 | 186 ÷ 32 = 5 remainder 26 |
| 3 | 32 ÷ 26 = 1 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 153 | 27693 |
| 123 and 189 | 7749 |
| 140 and 61 | 8540 |
| 147 and 15 | 735 |
| 199 and 87 | 17313 |