Least Common Multiple (LCM) of 625 and 430
The least common multiple (LCM) of 625 and 430 is 53750.
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 625 and 430?
First, calculate the GCD of 625 and 430 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 625 ÷ 430 = 1 remainder 195 |
| 2 | 430 ÷ 195 = 2 remainder 40 |
| 3 | 195 ÷ 40 = 4 remainder 35 |
| 4 | 40 ÷ 35 = 1 remainder 5 |
| 5 | 35 ÷ 5 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 169 | 7436 |
| 69 and 46 | 138 |
| 17 and 180 | 3060 |
| 20 and 33 | 660 |
| 189 and 137 | 25893 |