Least Common Multiple (LCM) of 225 and 539
The least common multiple (LCM) of 225 and 539 is 121275.
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 225 and 539?
First, calculate the GCD of 225 and 539 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 225 ÷ 539 = 0 remainder 225 |
| 2 | 539 ÷ 225 = 2 remainder 89 |
| 3 | 225 ÷ 89 = 2 remainder 47 |
| 4 | 89 ÷ 47 = 1 remainder 42 |
| 5 | 47 ÷ 42 = 1 remainder 5 |
| 6 | 42 ÷ 5 = 8 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 160 | 19360 |
| 128 and 64 | 128 |
| 92 and 162 | 7452 |
| 182 and 176 | 16016 |
| 66 and 79 | 5214 |