Least Common Multiple (LCM) of 87 and 168
The least common multiple (LCM) of 87 and 168 is 4872.
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 168?
First, calculate the GCD of 87 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 168 = 0 remainder 87 |
| 2 | 168 ÷ 87 = 1 remainder 81 |
| 3 | 87 ÷ 81 = 1 remainder 6 |
| 4 | 81 ÷ 6 = 13 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 197 | 28959 |
| 133 and 103 | 13699 |
| 40 and 140 | 280 |
| 28 and 186 | 2604 |
| 100 and 38 | 1900 |