Least Common Multiple (LCM) of 44 and 28
The least common multiple (LCM) of 44 and 28 is 308.
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 44 and 28?
First, calculate the GCD of 44 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 28 = 1 remainder 16 |
| 2 | 28 ÷ 16 = 1 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 60 | 960 |
| 154 and 22 | 154 |
| 115 and 122 | 14030 |
| 158 and 89 | 14062 |
| 169 and 74 | 12506 |