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 |
|---|---|
| 133 and 103 | 13699 |
| 170 and 54 | 4590 |
| 118 and 160 | 9440 |
| 42 and 47 | 1974 |
| 131 and 113 | 14803 |