Least Common Multiple (LCM) of 28 and 64
The least common multiple (LCM) of 28 and 64 is 448.
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 28 and 64?
First, calculate the GCD of 28 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 64 = 0 remainder 28 |
| 2 | 64 ÷ 28 = 2 remainder 8 |
| 3 | 28 ÷ 8 = 3 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 81 | 14013 |
| 133 and 181 | 24073 |
| 164 and 181 | 29684 |
| 186 and 66 | 2046 |
| 58 and 14 | 406 |