Least Common Multiple (LCM) of 110 and 130
The least common multiple (LCM) of 110 and 130 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 110 and 130?
First, calculate the GCD of 110 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 130 = 0 remainder 110 |
| 2 | 130 ÷ 110 = 1 remainder 20 |
| 3 | 110 ÷ 20 = 5 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 108 | 5940 |
| 150 and 44 | 3300 |
| 172 and 108 | 4644 |
| 36 and 117 | 468 |
| 158 and 65 | 10270 |