Least Common Multiple (LCM) of 181 and 155
The least common multiple (LCM) of 181 and 155 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 181 and 155?
First, calculate the GCD of 181 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 155 = 1 remainder 26 |
| 2 | 155 ÷ 26 = 5 remainder 25 |
| 3 | 26 ÷ 25 = 1 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 149 | 11920 |
| 116 and 87 | 348 |
| 152 and 99 | 15048 |
| 17 and 50 | 850 |
| 103 and 165 | 16995 |