Least Common Multiple (LCM) of 110 and 122
The least common multiple (LCM) of 110 and 122 is 6710.
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 110 and 122?
First, calculate the GCD of 110 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 122 = 0 remainder 110 |
| 2 | 122 ÷ 110 = 1 remainder 12 |
| 3 | 110 ÷ 12 = 9 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 156 | 4992 |
| 196 and 74 | 7252 |
| 12 and 40 | 120 |
| 140 and 125 | 3500 |
| 82 and 119 | 9758 |