Least Common Multiple (LCM) of 28 and 165
The least common multiple (LCM) of 28 and 165 is 4620.
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 28 and 165?
First, calculate the GCD of 28 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 165 = 0 remainder 28 |
| 2 | 165 ÷ 28 = 5 remainder 25 |
| 3 | 28 ÷ 25 = 1 remainder 3 |
| 4 | 25 ÷ 3 = 8 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 181 | 20815 |
| 131 and 128 | 16768 |
| 113 and 42 | 4746 |
| 183 and 147 | 8967 |
| 57 and 70 | 3990 |