Least Common Multiple (LCM) of 44 and 45
The least common multiple (LCM) of 44 and 45 is 1980.
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 44 and 45?
First, calculate the GCD of 44 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 45 = 0 remainder 44 |
| 2 | 45 ÷ 44 = 1 remainder 1 |
| 3 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 36 | 828 |
| 133 and 117 | 15561 |
| 30 and 191 | 5730 |
| 121 and 101 | 12221 |
| 140 and 185 | 5180 |