Least Common Multiple (LCM) of 87 and 131
The least common multiple (LCM) of 87 and 131 is 11397.
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 131?
First, calculate the GCD of 87 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 131 = 0 remainder 87 |
| 2 | 131 ÷ 87 = 1 remainder 44 |
| 3 | 87 ÷ 44 = 1 remainder 43 |
| 4 | 44 ÷ 43 = 1 remainder 1 |
| 5 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 15 | 645 |
| 156 and 107 | 16692 |
| 21 and 59 | 1239 |
| 13 and 20 | 260 |
| 190 and 33 | 6270 |