Least Common Multiple (LCM) of 165 and 169
The least common multiple (LCM) of 165 and 169 is 27885.
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 169?
First, calculate the GCD of 165 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 169 = 0 remainder 165 |
| 2 | 169 ÷ 165 = 1 remainder 4 |
| 3 | 165 ÷ 4 = 41 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 18 | 738 |
| 185 and 139 | 25715 |
| 40 and 90 | 360 |
| 59 and 112 | 6608 |
| 143 and 90 | 12870 |