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 |
|---|---|
| 89 and 72 | 6408 |
| 167 and 70 | 11690 |
| 19 and 59 | 1121 |
| 175 and 134 | 23450 |
| 186 and 55 | 10230 |