Least Common Multiple (LCM) of 110 and 165
The least common multiple (LCM) of 110 and 165 is 330.
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 165?
First, calculate the GCD of 110 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 165 = 0 remainder 110 |
| 2 | 165 ÷ 110 = 1 remainder 55 |
| 3 | 110 ÷ 55 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 70 | 12530 |
| 75 and 109 | 8175 |
| 71 and 93 | 6603 |
| 190 and 20 | 380 |
| 159 and 139 | 22101 |