Least Common Multiple (LCM) of 144 and 155
The least common multiple (LCM) of 144 and 155 is 22320.
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 144 and 155?
First, calculate the GCD of 144 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 155 = 0 remainder 144 |
| 2 | 155 ÷ 144 = 1 remainder 11 |
| 3 | 144 ÷ 11 = 13 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 195 | 8385 |
| 154 and 154 | 154 |
| 39 and 50 | 1950 |
| 111 and 95 | 10545 |
| 154 and 34 | 2618 |