Least Common Multiple (LCM) of 155 and 89
The least common multiple (LCM) of 155 and 89 is 13795.
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 155 and 89?
First, calculate the GCD of 155 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 89 = 1 remainder 66 |
| 2 | 89 ÷ 66 = 1 remainder 23 |
| 3 | 66 ÷ 23 = 2 remainder 20 |
| 4 | 23 ÷ 20 = 1 remainder 3 |
| 5 | 20 ÷ 3 = 6 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 146 | 29054 |
| 154 and 48 | 3696 |
| 25 and 45 | 225 |
| 186 and 92 | 8556 |
| 191 and 182 | 34762 |