Least Common Multiple (LCM) of 19 and 155
The least common multiple (LCM) of 19 and 155 is 2945.
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 19 and 155?
First, calculate the GCD of 19 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 19 ÷ 155 = 0 remainder 19 |
| 2 | 155 ÷ 19 = 8 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 100 | 18900 |
| 141 and 107 | 15087 |
| 13 and 100 | 1300 |
| 53 and 17 | 901 |
| 177 and 83 | 14691 |