Least Common Multiple (LCM) of 47 and 48
The least common multiple (LCM) of 47 and 48 is 2256.
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 47 and 48?
First, calculate the GCD of 47 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 48 = 0 remainder 47 |
| 2 | 48 ÷ 47 = 1 remainder 1 |
| 3 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 154 | 1386 |
| 56 and 177 | 9912 |
| 182 and 96 | 8736 |
| 82 and 151 | 12382 |
| 160 and 157 | 25120 |