Least Common Multiple (LCM) of 80 and 95
The least common multiple (LCM) of 80 and 95 is 1520.
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 95?
First, calculate the GCD of 80 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 95 = 0 remainder 80 |
| 2 | 95 ÷ 80 = 1 remainder 15 |
| 3 | 80 ÷ 15 = 5 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 120 | 13080 |
| 47 and 196 | 9212 |
| 28 and 56 | 56 |
| 22 and 31 | 682 |
| 109 and 97 | 10573 |