Least Common Multiple (LCM) of 44 and 80
The least common multiple (LCM) of 44 and 80 is 880.
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 80?
First, calculate the GCD of 44 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 80 = 0 remainder 44 |
| 2 | 80 ÷ 44 = 1 remainder 36 |
| 3 | 44 ÷ 36 = 1 remainder 8 |
| 4 | 36 ÷ 8 = 4 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 20 | 580 |
| 102 and 76 | 3876 |
| 30 and 91 | 2730 |
| 63 and 68 | 4284 |
| 79 and 175 | 13825 |