Least Common Multiple (LCM) of 15 and 47
The least common multiple (LCM) of 15 and 47 is 705.
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 15 and 47?
First, calculate the GCD of 15 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 47 = 0 remainder 15 |
| 2 | 47 ÷ 15 = 3 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 98 | 7056 |
| 35 and 200 | 1400 |
| 33 and 111 | 1221 |
| 49 and 136 | 6664 |
| 29 and 194 | 5626 |