Least Common Multiple (LCM) of 41 and 89
The least common multiple (LCM) of 41 and 89 is 3649.
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 41 and 89?
First, calculate the GCD of 41 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 89 = 0 remainder 41 |
| 2 | 89 ÷ 41 = 2 remainder 7 |
| 3 | 41 ÷ 7 = 5 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 100 | 3100 |
| 188 and 89 | 16732 |
| 22 and 171 | 3762 |
| 50 and 155 | 1550 |
| 123 and 31 | 3813 |