Least Common Multiple (LCM) of 943 and 2
The least common multiple (LCM) of 943 and 2 is 1886.
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 943 and 2?
First, calculate the GCD of 943 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 943 ÷ 2 = 471 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 150 | 11850 |
| 186 and 67 | 12462 |
| 25 and 35 | 175 |
| 10 and 151 | 1510 |
| 105 and 43 | 4515 |