Least Common Multiple (LCM) of 48 and 32
The least common multiple (LCM) of 48 and 32 is 96.
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 32?
First, calculate the GCD of 48 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 32 = 1 remainder 16 |
| 2 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 29 | 3161 |
| 179 and 50 | 8950 |
| 158 and 136 | 10744 |
| 167 and 138 | 23046 |
| 199 and 38 | 7562 |