Least Common Multiple (LCM) of 44 and 163
The least common multiple (LCM) of 44 and 163 is 7172.
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 163?
First, calculate the GCD of 44 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 163 = 0 remainder 44 |
| 2 | 163 ÷ 44 = 3 remainder 31 |
| 3 | 44 ÷ 31 = 1 remainder 13 |
| 4 | 31 ÷ 13 = 2 remainder 5 |
| 5 | 13 ÷ 5 = 2 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 100 | 17100 |
| 178 and 71 | 12638 |
| 148 and 11 | 1628 |
| 125 and 100 | 500 |
| 96 and 61 | 5856 |