Least Common Multiple (LCM) of 78 and 85
The least common multiple (LCM) of 78 and 85 is 6630.
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 85?
First, calculate the GCD of 78 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 85 = 0 remainder 78 |
| 2 | 85 ÷ 78 = 1 remainder 7 |
| 3 | 78 ÷ 7 = 11 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 30 | 960 |
| 114 and 68 | 3876 |
| 164 and 24 | 984 |
| 154 and 75 | 11550 |
| 155 and 175 | 5425 |