Least Common Multiple (LCM) of 16 and 64
The least common multiple (LCM) of 16 and 64 is 64.
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 16 and 64?
First, calculate the GCD of 16 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 64 = 0 remainder 16 |
| 2 | 64 ÷ 16 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 103 | 2163 |
| 123 and 40 | 4920 |
| 43 and 45 | 1935 |
| 179 and 107 | 19153 |
| 157 and 199 | 31243 |