Least Common Multiple (LCM) of 130 and 39
The least common multiple (LCM) of 130 and 39 is 390.
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 39?
First, calculate the GCD of 130 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 39 = 3 remainder 13 |
| 2 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 150 | 9450 |
| 196 and 186 | 18228 |
| 116 and 170 | 9860 |
| 31 and 46 | 1426 |
| 76 and 139 | 10564 |