Least Common Multiple (LCM) of 47 and 52
The least common multiple (LCM) of 47 and 52 is 2444.
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 52?
First, calculate the GCD of 47 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 52 = 0 remainder 47 |
| 2 | 52 ÷ 47 = 1 remainder 5 |
| 3 | 47 ÷ 5 = 9 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 196 | 980 |
| 189 and 58 | 10962 |
| 114 and 17 | 1938 |
| 25 and 37 | 925 |
| 64 and 103 | 6592 |