Least Common Multiple (LCM) of 165 and 152
The least common multiple (LCM) of 165 and 152 is 25080.
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 152?
First, calculate the GCD of 165 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 152 = 1 remainder 13 |
| 2 | 152 ÷ 13 = 11 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 143 | 26455 |
| 66 and 82 | 2706 |
| 164 and 163 | 26732 |
| 167 and 176 | 29392 |
| 102 and 12 | 204 |