Least Common Multiple (LCM) of 442 and 284
The least common multiple (LCM) of 442 and 284 is 62764.
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 442 and 284?
First, calculate the GCD of 442 and 284 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 442 ÷ 284 = 1 remainder 158 |
| 2 | 284 ÷ 158 = 1 remainder 126 |
| 3 | 158 ÷ 126 = 1 remainder 32 |
| 4 | 126 ÷ 32 = 3 remainder 30 |
| 5 | 32 ÷ 30 = 1 remainder 2 |
| 6 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 156 | 7020 |
| 122 and 126 | 7686 |
| 42 and 71 | 2982 |
| 130 and 73 | 9490 |
| 63 and 20 | 1260 |