Least Common Multiple (LCM) of 44 and 64
The least common multiple (LCM) of 44 and 64 is 704.
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 64?
First, calculate the GCD of 44 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 64 = 0 remainder 44 |
| 2 | 64 ÷ 44 = 1 remainder 20 |
| 3 | 44 ÷ 20 = 2 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 168 | 4536 |
| 141 and 176 | 24816 |
| 82 and 197 | 16154 |
| 177 and 60 | 3540 |
| 83 and 105 | 8715 |