Least Common Multiple (LCM) of 110 and 121
The least common multiple (LCM) of 110 and 121 is 1210.
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 121?
First, calculate the GCD of 110 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 121 = 0 remainder 110 |
| 2 | 121 ÷ 110 = 1 remainder 11 |
| 3 | 110 ÷ 11 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 88 | 7128 |
| 144 and 55 | 7920 |
| 103 and 67 | 6901 |
| 59 and 23 | 1357 |
| 97 and 11 | 1067 |