Least Common Multiple (LCM) of 165 and 66
The least common multiple (LCM) of 165 and 66 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 165 and 66?
First, calculate the GCD of 165 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 66 = 2 remainder 33 |
| 2 | 66 ÷ 33 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 167 | 28724 |
| 136 and 106 | 7208 |
| 132 and 134 | 8844 |
| 23 and 176 | 4048 |
| 152 and 49 | 7448 |