Least Common Multiple (LCM) of 121 and 111
The least common multiple (LCM) of 121 and 111 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 121 and 111?
First, calculate the GCD of 121 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 111 = 1 remainder 10 |
| 2 | 111 ÷ 10 = 11 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 195 | 9165 |
| 77 and 178 | 13706 |
| 22 and 130 | 1430 |
| 91 and 123 | 11193 |
| 10 and 37 | 370 |