Least Common Multiple (LCM) of 25 and 43
The least common multiple (LCM) of 25 and 43 is 1075.
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 43?
First, calculate the GCD of 25 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 43 = 0 remainder 25 |
| 2 | 43 ÷ 25 = 1 remainder 18 |
| 3 | 25 ÷ 18 = 1 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 155 | 3875 |
| 79 and 51 | 4029 |
| 194 and 72 | 6984 |
| 167 and 190 | 31730 |
| 25 and 17 | 425 |