Least Common Multiple (LCM) of 13 and 44
The least common multiple (LCM) of 13 and 44 is 572.
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 13 and 44?
First, calculate the GCD of 13 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 44 = 0 remainder 13 |
| 2 | 44 ÷ 13 = 3 remainder 5 |
| 3 | 13 ÷ 5 = 2 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 144 | 2736 |
| 173 and 133 | 23009 |
| 167 and 151 | 25217 |
| 131 and 37 | 4847 |
| 179 and 84 | 15036 |