Least Common Multiple (LCM) of 45 and 43
The least common multiple (LCM) of 45 and 43 is 1935.
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 45 and 43?
First, calculate the GCD of 45 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 43 = 1 remainder 2 |
| 2 | 43 ÷ 2 = 21 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 195 | 195 |
| 24 and 120 | 120 |
| 53 and 123 | 6519 |
| 17 and 48 | 816 |
| 162 and 105 | 5670 |