Least Common Multiple (LCM) of 41 and 53
The least common multiple (LCM) of 41 and 53 is 2173.
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 53?
First, calculate the GCD of 41 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 53 = 0 remainder 41 |
| 2 | 53 ÷ 41 = 1 remainder 12 |
| 3 | 41 ÷ 12 = 3 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 159 | 21306 |
| 120 and 146 | 8760 |
| 69 and 191 | 13179 |
| 46 and 195 | 8970 |
| 24 and 113 | 2712 |