Least Common Multiple (LCM) of 52 and 81
The least common multiple (LCM) of 52 and 81 is 4212.
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 52 and 81?
First, calculate the GCD of 52 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 81 = 0 remainder 52 |
| 2 | 81 ÷ 52 = 1 remainder 29 |
| 3 | 52 ÷ 29 = 1 remainder 23 |
| 4 | 29 ÷ 23 = 1 remainder 6 |
| 5 | 23 ÷ 6 = 3 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 52 | 3900 |
| 56 and 125 | 7000 |
| 121 and 104 | 12584 |
| 125 and 98 | 12250 |
| 23 and 180 | 4140 |