Least Common Multiple (LCM) of 87 and 163
The least common multiple (LCM) of 87 and 163 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 87 and 163?
First, calculate the GCD of 87 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 163 = 0 remainder 87 |
| 2 | 163 ÷ 87 = 1 remainder 76 |
| 3 | 87 ÷ 76 = 1 remainder 11 |
| 4 | 76 ÷ 11 = 6 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 52 | 7852 |
| 57 and 103 | 5871 |
| 22 and 101 | 2222 |
| 118 and 53 | 6254 |
| 105 and 147 | 735 |