Least Common Multiple (LCM) of 78 and 38
The least common multiple (LCM) of 78 and 38 is 1482.
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 38?
First, calculate the GCD of 78 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 38 = 2 remainder 2 |
| 2 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 174 | 6786 |
| 152 and 169 | 25688 |
| 66 and 185 | 12210 |
| 83 and 171 | 14193 |
| 120 and 92 | 2760 |