Least Common Multiple (LCM) of 110 and 99
The least common multiple (LCM) of 110 and 99 is 990.
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 99?
First, calculate the GCD of 110 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 99 = 1 remainder 11 |
| 2 | 99 ÷ 11 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 164 | 21812 |
| 127 and 47 | 5969 |
| 158 and 82 | 6478 |
| 64 and 19 | 1216 |
| 183 and 107 | 19581 |