Least Common Multiple (LCM) of 101 and 130
The least common multiple (LCM) of 101 and 130 is 13130.
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 101 and 130?
First, calculate the GCD of 101 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 130 = 0 remainder 101 |
| 2 | 130 ÷ 101 = 1 remainder 29 |
| 3 | 101 ÷ 29 = 3 remainder 14 |
| 4 | 29 ÷ 14 = 2 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 145 | 12035 |
| 181 and 19 | 3439 |
| 53 and 46 | 2438 |
| 60 and 181 | 10860 |
| 126 and 62 | 3906 |