Least Common Multiple (LCM) of 80 and 13
The least common multiple (LCM) of 80 and 13 is 1040.
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 13?
First, calculate the GCD of 80 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 13 = 6 remainder 2 |
| 2 | 13 ÷ 2 = 6 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 98 | 1176 |
| 142 and 165 | 23430 |
| 127 and 113 | 14351 |
| 109 and 177 | 19293 |
| 178 and 139 | 24742 |