Least Common Multiple (LCM) of 78 and 25
The least common multiple (LCM) of 78 and 25 is 1950.
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 25?
First, calculate the GCD of 78 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 25 = 3 remainder 3 |
| 2 | 25 ÷ 3 = 8 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 71 | 11715 |
| 33 and 79 | 2607 |
| 55 and 188 | 10340 |
| 75 and 103 | 7725 |
| 78 and 191 | 14898 |