Least Common Multiple (LCM) of 131 and 130
The least common multiple (LCM) of 131 and 130 is 17030.
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 130?
First, calculate the GCD of 131 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 130 = 1 remainder 1 |
| 2 | 130 ÷ 1 = 130 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 101 | 8787 |
| 16 and 183 | 2928 |
| 123 and 178 | 21894 |
| 49 and 63 | 441 |
| 163 and 98 | 15974 |