Least Common Multiple (LCM) of 18 and 87
The least common multiple (LCM) of 18 and 87 is 522.
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 18 and 87?
First, calculate the GCD of 18 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 87 = 0 remainder 18 |
| 2 | 87 ÷ 18 = 4 remainder 15 |
| 3 | 18 ÷ 15 = 1 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 120 | 16680 |
| 103 and 112 | 11536 |
| 77 and 127 | 9779 |
| 188 and 125 | 23500 |
| 142 and 135 | 19170 |