Least Common Multiple (LCM) of 115 and 28
The least common multiple (LCM) of 115 and 28 is 3220.
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 28?
First, calculate the GCD of 115 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 28 = 4 remainder 3 |
| 2 | 28 ÷ 3 = 9 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 136 | 544 |
| 135 and 24 | 1080 |
| 34 and 134 | 2278 |
| 140 and 151 | 21140 |
| 31 and 21 | 651 |