Least Common Multiple (LCM) of 130 and 155
The least common multiple (LCM) of 130 and 155 is 4030.
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 155?
First, calculate the GCD of 130 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 155 = 0 remainder 130 |
| 2 | 155 ÷ 130 = 1 remainder 25 |
| 3 | 130 ÷ 25 = 5 remainder 5 |
| 4 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 67 | 5695 |
| 164 and 49 | 8036 |
| 51 and 34 | 102 |
| 74 and 94 | 3478 |
| 177 and 17 | 3009 |