Least Common Multiple (LCM) of 24 and 190
The least common multiple (LCM) of 24 and 190 is 2280.
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 24 and 190?
First, calculate the GCD of 24 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 190 = 0 remainder 24 |
| 2 | 190 ÷ 24 = 7 remainder 22 |
| 3 | 24 ÷ 22 = 1 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 23 | 2162 |
| 131 and 31 | 4061 |
| 195 and 111 | 7215 |
| 175 and 61 | 10675 |
| 189 and 30 | 1890 |