Least Common Multiple (LCM) of 44 and 93
The least common multiple (LCM) of 44 and 93 is 4092.
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 93?
First, calculate the GCD of 44 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 93 = 0 remainder 44 |
| 2 | 93 ÷ 44 = 2 remainder 5 |
| 3 | 44 ÷ 5 = 8 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 42 | 1596 |
| 107 and 165 | 17655 |
| 74 and 146 | 5402 |
| 17 and 173 | 2941 |
| 140 and 49 | 980 |