Least Common Multiple (LCM) of 115 and 44
The least common multiple (LCM) of 115 and 44 is 5060.
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 115 and 44?
First, calculate the GCD of 115 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 44 = 2 remainder 27 |
| 2 | 44 ÷ 27 = 1 remainder 17 |
| 3 | 27 ÷ 17 = 1 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 139 | 2363 |
| 137 and 115 | 15755 |
| 39 and 132 | 1716 |
| 162 and 177 | 9558 |
| 101 and 34 | 3434 |