Least Common Multiple (LCM) of 89 and 40
The least common multiple (LCM) of 89 and 40 is 3560.
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 40?
First, calculate the GCD of 89 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 40 = 2 remainder 9 |
| 2 | 40 ÷ 9 = 4 remainder 4 |
| 3 | 9 ÷ 4 = 2 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 44 | 6908 |
| 117 and 183 | 7137 |
| 178 and 165 | 29370 |
| 26 and 71 | 1846 |
| 188 and 96 | 4512 |