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 |
|---|---|
| 158 and 146 | 11534 |
| 93 and 171 | 5301 |
| 162 and 61 | 9882 |
| 111 and 30 | 1110 |
| 119 and 188 | 22372 |