Least Common Multiple (LCM) of 115 and 155
The least common multiple (LCM) of 115 and 155 is 3565.
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 155?
First, calculate the GCD of 115 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 155 = 0 remainder 115 |
| 2 | 155 ÷ 115 = 1 remainder 40 |
| 3 | 115 ÷ 40 = 2 remainder 35 |
| 4 | 40 ÷ 35 = 1 remainder 5 |
| 5 | 35 ÷ 5 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 175 | 27650 |
| 113 and 125 | 14125 |
| 189 and 168 | 1512 |
| 137 and 100 | 13700 |
| 39 and 30 | 390 |