Least Common Multiple (LCM) of 80 and 115
The least common multiple (LCM) of 80 and 115 is 1840.
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 115?
First, calculate the GCD of 80 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 115 = 0 remainder 80 |
| 2 | 115 ÷ 80 = 1 remainder 35 |
| 3 | 80 ÷ 35 = 2 remainder 10 |
| 4 | 35 ÷ 10 = 3 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 85 | 4930 |
| 70 and 63 | 630 |
| 158 and 143 | 22594 |
| 168 and 123 | 6888 |
| 135 and 50 | 1350 |