Least Common Multiple (LCM) of 131 and 158
The least common multiple (LCM) of 131 and 158 is 20698.
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 158?
First, calculate the GCD of 131 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 158 = 0 remainder 131 |
| 2 | 158 ÷ 131 = 1 remainder 27 |
| 3 | 131 ÷ 27 = 4 remainder 23 |
| 4 | 27 ÷ 23 = 1 remainder 4 |
| 5 | 23 ÷ 4 = 5 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 178 | 15130 |
| 61 and 188 | 11468 |
| 75 and 89 | 6675 |
| 82 and 115 | 9430 |
| 35 and 144 | 5040 |