Least Common Multiple (LCM) of 121 and 80
The least common multiple (LCM) of 121 and 80 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 121 and 80?
First, calculate the GCD of 121 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 80 = 1 remainder 41 |
| 2 | 80 ÷ 41 = 1 remainder 39 |
| 3 | 41 ÷ 39 = 1 remainder 2 |
| 4 | 39 ÷ 2 = 19 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 33 | 1947 |
| 172 and 102 | 8772 |
| 128 and 158 | 10112 |
| 146 and 182 | 13286 |
| 182 and 142 | 12922 |