Least Common Multiple (LCM) of 130 and 148
The least common multiple (LCM) of 130 and 148 is 9620.
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 130 and 148?
First, calculate the GCD of 130 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 148 = 0 remainder 130 |
| 2 | 148 ÷ 130 = 1 remainder 18 |
| 3 | 130 ÷ 18 = 7 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 119 | 119 |
| 101 and 181 | 18281 |
| 54 and 68 | 1836 |
| 61 and 22 | 1342 |
| 112 and 31 | 3472 |