Least Common Multiple (LCM) of 39 and 163
The least common multiple (LCM) of 39 and 163 is 6357.
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 39 and 163?
First, calculate the GCD of 39 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 163 = 0 remainder 39 |
| 2 | 163 ÷ 39 = 4 remainder 7 |
| 3 | 39 ÷ 7 = 5 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 44 | 1804 |
| 11 and 144 | 1584 |
| 36 and 46 | 828 |
| 186 and 13 | 2418 |
| 193 and 175 | 33775 |