Least Common Multiple (LCM) of 23 and 44
The least common multiple (LCM) of 23 and 44 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 23 and 44?
First, calculate the GCD of 23 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 44 = 0 remainder 23 |
| 2 | 44 ÷ 23 = 1 remainder 21 |
| 3 | 23 ÷ 21 = 1 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 116 | 17284 |
| 32 and 94 | 1504 |
| 147 and 129 | 6321 |
| 23 and 37 | 851 |
| 62 and 172 | 5332 |