Least Common Multiple (LCM) of 190 and 32
The least common multiple (LCM) of 190 and 32 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 190 and 32?
First, calculate the GCD of 190 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 32 = 5 remainder 30 |
| 2 | 32 ÷ 30 = 1 remainder 2 |
| 3 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 13 | 2145 |
| 83 and 147 | 12201 |
| 41 and 20 | 820 |
| 21 and 52 | 1092 |
| 126 and 42 | 126 |