Least Common Multiple (LCM) of 25 and 63
The least common multiple (LCM) of 25 and 63 is 1575.
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 25 and 63?
First, calculate the GCD of 25 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 63 = 0 remainder 25 |
| 2 | 63 ÷ 25 = 2 remainder 13 |
| 3 | 25 ÷ 13 = 1 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 32 | 5984 |
| 81 and 82 | 6642 |
| 134 and 38 | 2546 |
| 20 and 199 | 3980 |
| 165 and 83 | 13695 |