Least Common Multiple (LCM) of 130 and 139
The least common multiple (LCM) of 130 and 139 is 18070.
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 139?
First, calculate the GCD of 130 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 139 = 0 remainder 130 |
| 2 | 139 ÷ 130 = 1 remainder 9 |
| 3 | 130 ÷ 9 = 14 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 182 | 546 |
| 200 and 65 | 2600 |
| 73 and 154 | 11242 |
| 193 and 51 | 9843 |
| 177 and 152 | 26904 |