Least Common Multiple (LCM) of 44 and 23
The least common multiple (LCM) of 44 and 23 is 1012.
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 23?
First, calculate the GCD of 44 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 23 = 1 remainder 21 |
| 2 | 23 ÷ 21 = 1 remainder 2 |
| 3 | 21 ÷ 2 = 10 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 169 | 9126 |
| 18 and 76 | 684 |
| 173 and 188 | 32524 |
| 118 and 186 | 10974 |
| 118 and 144 | 8496 |