Least Common Multiple (LCM) of 476 and 2
The least common multiple (LCM) of 476 and 2 is 476.
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 476 and 2?
First, calculate the GCD of 476 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 476 ÷ 2 = 238 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 23 | 2530 |
| 198 and 59 | 11682 |
| 123 and 198 | 8118 |
| 85 and 130 | 2210 |
| 175 and 66 | 11550 |