Least Common Multiple (LCM) of 165 and 95
The least common multiple (LCM) of 165 and 95 is 3135.
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 95?
First, calculate the GCD of 165 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 95 = 1 remainder 70 |
| 2 | 95 ÷ 70 = 1 remainder 25 |
| 3 | 70 ÷ 25 = 2 remainder 20 |
| 4 | 25 ÷ 20 = 1 remainder 5 |
| 5 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 177 | 6726 |
| 199 and 196 | 39004 |
| 172 and 53 | 9116 |
| 191 and 129 | 24639 |
| 155 and 123 | 19065 |