Least Common Multiple (LCM) of 44 and 160
The least common multiple (LCM) of 44 and 160 is 1760.
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 160?
First, calculate the GCD of 44 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 160 = 0 remainder 44 |
| 2 | 160 ÷ 44 = 3 remainder 28 |
| 3 | 44 ÷ 28 = 1 remainder 16 |
| 4 | 28 ÷ 16 = 1 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 174 | 6438 |
| 24 and 16 | 48 |
| 156 and 71 | 11076 |
| 159 and 101 | 16059 |
| 164 and 97 | 15908 |