Least Common Multiple (LCM) of 165 and 38
The least common multiple (LCM) of 165 and 38 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 38?
First, calculate the GCD of 165 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 38 = 4 remainder 13 |
| 2 | 38 ÷ 13 = 2 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 115 | 18285 |
| 112 and 146 | 8176 |
| 49 and 99 | 4851 |
| 64 and 167 | 10688 |
| 91 and 59 | 5369 |