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 |
|---|---|
| 133 and 138 | 18354 |
| 146 and 199 | 29054 |
| 166 and 89 | 14774 |
| 134 and 60 | 4020 |
| 117 and 118 | 13806 |