Least Common Multiple (LCM) of 89 and 43
The least common multiple (LCM) of 89 and 43 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 89 and 43?
First, calculate the GCD of 89 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 43 = 2 remainder 3 |
| 2 | 43 ÷ 3 = 14 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 111 | 15207 |
| 111 and 180 | 6660 |
| 69 and 82 | 5658 |
| 11 and 156 | 1716 |
| 120 and 117 | 4680 |