Least Common Multiple (LCM) of 78 and 73
The least common multiple (LCM) of 78 and 73 is 5694.
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 73?
First, calculate the GCD of 78 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 73 = 1 remainder 5 |
| 2 | 73 ÷ 5 = 14 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 192 | 30144 |
| 20 and 30 | 60 |
| 68 and 197 | 13396 |
| 178 and 13 | 2314 |
| 48 and 116 | 1392 |