Least Common Multiple (LCM) of 81 and 165
The least common multiple (LCM) of 81 and 165 is 4455.
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 81 and 165?
First, calculate the GCD of 81 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 165 = 0 remainder 81 |
| 2 | 165 ÷ 81 = 2 remainder 3 |
| 3 | 81 ÷ 3 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 53 | 8003 |
| 174 and 182 | 15834 |
| 75 and 152 | 11400 |
| 52 and 114 | 2964 |
| 167 and 105 | 17535 |