Least Common Multiple (LCM) of 32 and 190
The least common multiple (LCM) of 32 and 190 is 3040.
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 190?
First, calculate the GCD of 32 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 190 = 0 remainder 32 |
| 2 | 190 ÷ 32 = 5 remainder 30 |
| 3 | 32 ÷ 30 = 1 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 89 | 3382 |
| 200 and 53 | 10600 |
| 14 and 135 | 1890 |
| 120 and 45 | 360 |
| 196 and 57 | 11172 |