Least Common Multiple (LCM) of 44 and 85
The least common multiple (LCM) of 44 and 85 is 3740.
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 85?
First, calculate the GCD of 44 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 85 = 0 remainder 44 |
| 2 | 85 ÷ 44 = 1 remainder 41 |
| 3 | 44 ÷ 41 = 1 remainder 3 |
| 4 | 41 ÷ 3 = 13 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 67 | 10050 |
| 90 and 53 | 4770 |
| 173 and 162 | 28026 |
| 142 and 56 | 3976 |
| 175 and 195 | 6825 |