Least Common Multiple (LCM) of 80 and 32
The least common multiple (LCM) of 80 and 32 is 160.
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 80 and 32?
First, calculate the GCD of 80 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 32 = 2 remainder 16 |
| 2 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 177 | 2832 |
| 158 and 182 | 14378 |
| 101 and 140 | 14140 |
| 187 and 95 | 17765 |
| 175 and 165 | 5775 |