Least Common Multiple (LCM) of 44 and 175
The least common multiple (LCM) of 44 and 175 is 7700.
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 175?
First, calculate the GCD of 44 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 175 = 0 remainder 44 |
| 2 | 175 ÷ 44 = 3 remainder 43 |
| 3 | 44 ÷ 43 = 1 remainder 1 |
| 4 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 20 | 1780 |
| 30 and 164 | 2460 |
| 68 and 162 | 5508 |
| 35 and 25 | 175 |
| 144 and 83 | 11952 |