Least Common Multiple (LCM) of 111 and 121
The least common multiple (LCM) of 111 and 121 is 13431.
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 111 and 121?
First, calculate the GCD of 111 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 121 = 0 remainder 111 |
| 2 | 121 ÷ 111 = 1 remainder 10 |
| 3 | 111 ÷ 10 = 11 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 96 | 2208 |
| 180 and 39 | 2340 |
| 59 and 83 | 4897 |
| 135 and 134 | 18090 |
| 49 and 195 | 9555 |