Least Common Multiple (LCM) of 130 and 53
The least common multiple (LCM) of 130 and 53 is 6890.
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 53?
First, calculate the GCD of 130 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 53 = 2 remainder 24 |
| 2 | 53 ÷ 24 = 2 remainder 5 |
| 3 | 24 ÷ 5 = 4 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 87 | 14442 |
| 183 and 183 | 183 |
| 43 and 181 | 7783 |
| 192 and 170 | 16320 |
| 184 and 60 | 2760 |