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 |
|---|---|
| 25 and 165 | 825 |
| 32 and 101 | 3232 |
| 95 and 70 | 1330 |
| 86 and 132 | 5676 |
| 93 and 153 | 4743 |