Least Common Multiple (LCM) of 131 and 138
The least common multiple (LCM) of 131 and 138 is 18078.
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 138?
First, calculate the GCD of 131 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 138 = 0 remainder 131 |
| 2 | 138 ÷ 131 = 1 remainder 7 |
| 3 | 131 ÷ 7 = 18 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 19 | 3648 |
| 99 and 187 | 1683 |
| 171 and 194 | 33174 |
| 14 and 59 | 826 |
| 191 and 88 | 16808 |