Least Common Multiple (LCM) of 96 and 87
The least common multiple (LCM) of 96 and 87 is 2784.
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 96 and 87?
First, calculate the GCD of 96 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 87 = 1 remainder 9 |
| 2 | 87 ÷ 9 = 9 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 197 | 35460 |
| 133 and 148 | 19684 |
| 40 and 31 | 1240 |
| 51 and 124 | 6324 |
| 71 and 98 | 6958 |