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 |
|---|---|
| 106 and 129 | 13674 |
| 139 and 39 | 5421 |
| 180 and 52 | 2340 |
| 172 and 185 | 31820 |
| 96 and 167 | 16032 |