Least Common Multiple (LCM) of 48 and 64
The least common multiple (LCM) of 48 and 64 is 192.
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 48 and 64?
First, calculate the GCD of 48 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 64 = 0 remainder 48 |
| 2 | 64 ÷ 48 = 1 remainder 16 |
| 3 | 48 ÷ 16 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 187 | 14773 |
| 196 and 165 | 32340 |
| 85 and 197 | 16745 |
| 163 and 51 | 8313 |
| 133 and 197 | 26201 |