Least Common Multiple (LCM) of 87 and 89
The least common multiple (LCM) of 87 and 89 is 7743.
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 89?
First, calculate the GCD of 87 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 89 = 0 remainder 87 |
| 2 | 89 ÷ 87 = 1 remainder 2 |
| 3 | 87 ÷ 2 = 43 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 136 | 18632 |
| 129 and 61 | 7869 |
| 133 and 147 | 2793 |
| 159 and 25 | 3975 |
| 187 and 168 | 31416 |