Least Common Multiple (LCM) of 165 and 114
The least common multiple (LCM) of 165 and 114 is 6270.
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 114?
First, calculate the GCD of 165 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 114 = 1 remainder 51 |
| 2 | 114 ÷ 51 = 2 remainder 12 |
| 3 | 51 ÷ 12 = 4 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 101 | 1717 |
| 73 and 31 | 2263 |
| 131 and 81 | 10611 |
| 123 and 13 | 1599 |
| 17 and 66 | 1122 |