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 |
|---|---|
| 84 and 21 | 84 |
| 148 and 12 | 444 |
| 103 and 61 | 6283 |
| 128 and 75 | 9600 |
| 152 and 27 | 4104 |