Least Common Multiple (LCM) of 163 and 39
The least common multiple (LCM) of 163 and 39 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 163 and 39?
First, calculate the GCD of 163 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 39 = 4 remainder 7 |
| 2 | 39 ÷ 7 = 5 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 128 | 4480 |
| 83 and 62 | 5146 |
| 23 and 196 | 4508 |
| 79 and 185 | 14615 |
| 49 and 86 | 4214 |