Least Common Multiple (LCM) of 130 and 135
The least common multiple (LCM) of 130 and 135 is 3510.
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 135?
First, calculate the GCD of 130 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 135 = 0 remainder 130 |
| 2 | 135 ÷ 130 = 1 remainder 5 |
| 3 | 130 ÷ 5 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 11 | 1078 |
| 80 and 60 | 240 |
| 135 and 181 | 24435 |
| 182 and 172 | 15652 |
| 170 and 82 | 6970 |