Least Common Multiple (LCM) of 176 and 165
The least common multiple (LCM) of 176 and 165 is 2640.
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 176 and 165?
First, calculate the GCD of 176 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 165 = 1 remainder 11 |
| 2 | 165 ÷ 11 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 16 | 2800 |
| 149 and 197 | 29353 |
| 24 and 36 | 72 |
| 183 and 198 | 12078 |
| 27 and 160 | 4320 |