Least Common Multiple (LCM) of 115 and 145
The least common multiple (LCM) of 115 and 145 is 3335.
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 145?
First, calculate the GCD of 115 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 145 = 0 remainder 115 |
| 2 | 145 ÷ 115 = 1 remainder 30 |
| 3 | 115 ÷ 30 = 3 remainder 25 |
| 4 | 30 ÷ 25 = 1 remainder 5 |
| 5 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 90 | 180 |
| 32 and 88 | 352 |
| 191 and 160 | 30560 |
| 171 and 141 | 8037 |
| 11 and 112 | 1232 |