Least Common Multiple (LCM) of 163 and 87
The least common multiple (LCM) of 163 and 87 is 14181.
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 87?
First, calculate the GCD of 163 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 87 = 1 remainder 76 |
| 2 | 87 ÷ 76 = 1 remainder 11 |
| 3 | 76 ÷ 11 = 6 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 16 | 752 |
| 136 and 75 | 10200 |
| 90 and 16 | 720 |
| 68 and 114 | 3876 |
| 177 and 65 | 11505 |