Least Common Multiple (LCM) of 130 and 110
The least common multiple (LCM) of 130 and 110 is 1430.
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 110?
First, calculate the GCD of 130 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 110 = 1 remainder 20 |
| 2 | 110 ÷ 20 = 5 remainder 10 |
| 3 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 49 | 1225 |
| 145 and 153 | 22185 |
| 91 and 36 | 3276 |
| 121 and 133 | 16093 |
| 121 and 176 | 1936 |