Least Common Multiple (LCM) of 165 and 99
The least common multiple (LCM) of 165 and 99 is 495.
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 165 and 99?
First, calculate the GCD of 165 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 99 = 1 remainder 66 |
| 2 | 99 ÷ 66 = 1 remainder 33 |
| 3 | 66 ÷ 33 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 109 | 12753 |
| 103 and 36 | 3708 |
| 129 and 140 | 18060 |
| 46 and 160 | 3680 |
| 43 and 34 | 1462 |