Least Common Multiple (LCM) of 24 and 47
The least common multiple (LCM) of 24 and 47 is 1128.
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 47?
First, calculate the GCD of 24 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 47 = 0 remainder 24 |
| 2 | 47 ÷ 24 = 1 remainder 23 |
| 3 | 24 ÷ 23 = 1 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 177 | 25134 |
| 78 and 30 | 390 |
| 52 and 141 | 7332 |
| 194 and 101 | 19594 |
| 63 and 144 | 1008 |