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 |
|---|---|
| 120 and 38 | 2280 |
| 33 and 101 | 3333 |
| 42 and 200 | 4200 |
| 106 and 158 | 8374 |
| 46 and 146 | 3358 |