Least Common Multiple (LCM) of 154 and 144
The least common multiple (LCM) of 154 and 144 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 154 and 144?
First, calculate the GCD of 154 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 144 = 1 remainder 10 |
| 2 | 144 ÷ 10 = 14 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 83 | 996 |
| 21 and 166 | 3486 |
| 41 and 16 | 656 |
| 107 and 82 | 8774 |
| 172 and 109 | 18748 |