Least Common Multiple (LCM) of 43 and 89
The least common multiple (LCM) of 43 and 89 is 3827.
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 43 and 89?
First, calculate the GCD of 43 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 89 = 0 remainder 43 |
| 2 | 89 ÷ 43 = 2 remainder 3 |
| 3 | 43 ÷ 3 = 14 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 51 | 8517 |
| 196 and 183 | 35868 |
| 132 and 191 | 25212 |
| 37 and 104 | 3848 |
| 42 and 20 | 420 |