Least Common Multiple (LCM) of 144 and 154
The least common multiple (LCM) of 144 and 154 is 11088.
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 154?
First, calculate the GCD of 144 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 154 = 0 remainder 144 |
| 2 | 154 ÷ 144 = 1 remainder 10 |
| 3 | 144 ÷ 10 = 14 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 49 | 8330 |
| 192 and 142 | 13632 |
| 43 and 143 | 6149 |
| 166 and 106 | 8798 |
| 179 and 27 | 4833 |