Least Common Multiple (LCM) of 130 and 99
The least common multiple (LCM) of 130 and 99 is 12870.
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 99?
First, calculate the GCD of 130 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 99 = 1 remainder 31 |
| 2 | 99 ÷ 31 = 3 remainder 6 |
| 3 | 31 ÷ 6 = 5 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 41 | 4592 |
| 112 and 72 | 1008 |
| 162 and 154 | 12474 |
| 170 and 170 | 170 |
| 112 and 119 | 1904 |