Least Common Multiple (LCM) of 87 and 84
The least common multiple (LCM) of 87 and 84 is 2436.
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 84?
First, calculate the GCD of 87 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 84 = 1 remainder 3 |
| 2 | 84 ÷ 3 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 89 | 12549 |
| 198 and 89 | 17622 |
| 154 and 137 | 21098 |
| 135 and 94 | 12690 |
| 60 and 14 | 420 |