Least Common Multiple (LCM) of 53 and 25
The least common multiple (LCM) of 53 and 25 is 1325.
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 53 and 25?
First, calculate the GCD of 53 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 25 = 2 remainder 3 |
| 2 | 25 ÷ 3 = 8 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 57 | 3705 |
| 106 and 41 | 4346 |
| 138 and 107 | 14766 |
| 27 and 42 | 378 |
| 24 and 123 | 984 |