Least Common Multiple (LCM) of 36 and 80
The least common multiple (LCM) of 36 and 80 is 720.
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 36 and 80?
First, calculate the GCD of 36 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 80 = 0 remainder 36 |
| 2 | 80 ÷ 36 = 2 remainder 8 |
| 3 | 36 ÷ 8 = 4 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 152 | 7752 |
| 44 and 75 | 3300 |
| 50 and 16 | 400 |
| 91 and 15 | 1365 |
| 75 and 41 | 3075 |