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 |
|---|---|
| 17 and 137 | 2329 |
| 101 and 123 | 12423 |
| 20 and 60 | 60 |
| 132 and 89 | 11748 |
| 141 and 137 | 19317 |