Least Common Multiple (LCM) of 44 and 143
The least common multiple (LCM) of 44 and 143 is 572.
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 143?
First, calculate the GCD of 44 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 143 = 0 remainder 44 |
| 2 | 143 ÷ 44 = 3 remainder 11 |
| 3 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 165 | 2310 |
| 32 and 54 | 864 |
| 100 and 14 | 700 |
| 109 and 164 | 17876 |
| 134 and 63 | 8442 |