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 |
|---|---|
| 93 and 66 | 2046 |
| 123 and 43 | 5289 |
| 120 and 56 | 840 |
| 171 and 15 | 855 |
| 148 and 23 | 3404 |