Least Common Multiple (LCM) of 165 and 118
The least common multiple (LCM) of 165 and 118 is 19470.
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 118?
First, calculate the GCD of 165 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 118 = 1 remainder 47 |
| 2 | 118 ÷ 47 = 2 remainder 24 |
| 3 | 47 ÷ 24 = 1 remainder 23 |
| 4 | 24 ÷ 23 = 1 remainder 1 |
| 5 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 62 | 6634 |
| 130 and 74 | 4810 |
| 42 and 32 | 672 |
| 185 and 183 | 33855 |
| 99 and 146 | 14454 |