Least Common Multiple (LCM) of 80 and 121
The least common multiple (LCM) of 80 and 121 is 9680.
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 121?
First, calculate the GCD of 80 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 121 = 0 remainder 80 |
| 2 | 121 ÷ 80 = 1 remainder 41 |
| 3 | 80 ÷ 41 = 1 remainder 39 |
| 4 | 41 ÷ 39 = 1 remainder 2 |
| 5 | 39 ÷ 2 = 19 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 61 | 4575 |
| 14 and 68 | 476 |
| 199 and 77 | 15323 |
| 50 and 25 | 50 |
| 191 and 78 | 14898 |