Least Common Multiple (LCM) of 41 and 31
The least common multiple (LCM) of 41 and 31 is 1271.
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 31?
First, calculate the GCD of 41 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 31 = 1 remainder 10 |
| 2 | 31 ÷ 10 = 3 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 123 | 18573 |
| 114 and 22 | 1254 |
| 91 and 32 | 2912 |
| 19 and 49 | 931 |
| 149 and 46 | 6854 |