Least Common Multiple (LCM) of 155 and 181
The least common multiple (LCM) of 155 and 181 is 28055.
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 181?
First, calculate the GCD of 155 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 181 = 0 remainder 155 |
| 2 | 181 ÷ 155 = 1 remainder 26 |
| 3 | 155 ÷ 26 = 5 remainder 25 |
| 4 | 26 ÷ 25 = 1 remainder 1 |
| 5 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 60 | 1920 |
| 131 and 184 | 24104 |
| 176 and 19 | 3344 |
| 90 and 181 | 16290 |
| 30 and 134 | 2010 |