Least Common Multiple (LCM) of 168 and 87
The least common multiple (LCM) of 168 and 87 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 168 and 87?
First, calculate the GCD of 168 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 87 = 1 remainder 81 |
| 2 | 87 ÷ 81 = 1 remainder 6 |
| 3 | 81 ÷ 6 = 13 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 80 | 13360 |
| 84 and 163 | 13692 |
| 66 and 100 | 3300 |
| 107 and 100 | 10700 |
| 59 and 100 | 5900 |