Least Common Multiple (LCM) of 78 and 130
The least common multiple (LCM) of 78 and 130 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 78 and 130?
First, calculate the GCD of 78 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 130 = 0 remainder 78 |
| 2 | 130 ÷ 78 = 1 remainder 52 |
| 3 | 78 ÷ 52 = 1 remainder 26 |
| 4 | 52 ÷ 26 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 33 | 3300 |
| 79 and 56 | 4424 |
| 107 and 136 | 14552 |
| 44 and 26 | 572 |
| 60 and 113 | 6780 |