Least Common Multiple (LCM) of 165 and 170
The least common multiple (LCM) of 165 and 170 is 5610.
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 170?
First, calculate the GCD of 165 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 170 = 0 remainder 165 |
| 2 | 170 ÷ 165 = 1 remainder 5 |
| 3 | 165 ÷ 5 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 114 | 5586 |
| 124 and 58 | 3596 |
| 125 and 17 | 2125 |
| 78 and 139 | 10842 |
| 108 and 84 | 756 |