Least Common Multiple (LCM) of 155 and 144
The least common multiple (LCM) of 155 and 144 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 155 and 144?
First, calculate the GCD of 155 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 144 = 1 remainder 11 |
| 2 | 144 ÷ 11 = 13 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 39 | 1560 |
| 149 and 193 | 28757 |
| 30 and 64 | 960 |
| 112 and 131 | 14672 |
| 126 and 14 | 126 |