Least Common Multiple (LCM) of 122 and 111
The least common multiple (LCM) of 122 and 111 is 13542.
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 122 and 111?
First, calculate the GCD of 122 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 111 = 1 remainder 11 |
| 2 | 111 ÷ 11 = 10 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 74 | 7178 |
| 17 and 53 | 901 |
| 23 and 126 | 2898 |
| 80 and 110 | 880 |
| 63 and 80 | 5040 |