Least Common Multiple (LCM) of 130 and 78
The least common multiple (LCM) of 130 and 78 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 78?
First, calculate the GCD of 130 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 78 = 1 remainder 52 |
| 2 | 78 ÷ 52 = 1 remainder 26 |
| 3 | 52 ÷ 26 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 157 | 29830 |
| 184 and 76 | 3496 |
| 112 and 100 | 2800 |
| 21 and 188 | 3948 |
| 160 and 20 | 160 |