Least Common Multiple (LCM) of 131 and 87
The least common multiple (LCM) of 131 and 87 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 131 and 87?
First, calculate the GCD of 131 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 87 = 1 remainder 44 |
| 2 | 87 ÷ 44 = 1 remainder 43 |
| 3 | 44 ÷ 43 = 1 remainder 1 |
| 4 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 83 | 16351 |
| 151 and 15 | 2265 |
| 112 and 151 | 16912 |
| 117 and 158 | 18486 |
| 78 and 118 | 4602 |