Least Common Multiple (LCM) of 13 and 41
The least common multiple (LCM) of 13 and 41 is 533.
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 13 and 41?
First, calculate the GCD of 13 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 41 = 0 remainder 13 |
| 2 | 41 ÷ 13 = 3 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 32 | 2336 |
| 98 and 76 | 3724 |
| 171 and 200 | 34200 |
| 130 and 151 | 19630 |
| 93 and 182 | 16926 |