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 |
|---|---|
| 179 and 38 | 6802 |
| 139 and 27 | 3753 |
| 107 and 53 | 5671 |
| 131 and 73 | 9563 |
| 12 and 100 | 300 |