Least Common Multiple (LCM) of 130 and 111
The least common multiple (LCM) of 130 and 111 is 14430.
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 111?
First, calculate the GCD of 130 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 111 = 1 remainder 19 |
| 2 | 111 ÷ 19 = 5 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 69 | 10005 |
| 31 and 175 | 5425 |
| 73 and 142 | 10366 |
| 149 and 59 | 8791 |
| 64 and 126 | 4032 |