Least Common Multiple (LCM) of 78 and 41
The least common multiple (LCM) of 78 and 41 is 3198.
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 41?
First, calculate the GCD of 78 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 41 = 1 remainder 37 |
| 2 | 41 ÷ 37 = 1 remainder 4 |
| 3 | 37 ÷ 4 = 9 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 169 | 17069 |
| 68 and 194 | 6596 |
| 123 and 40 | 4920 |
| 25 and 124 | 3100 |
| 154 and 186 | 14322 |