Least Common Multiple (LCM) of 78 and 69
The least common multiple (LCM) of 78 and 69 is 1794.
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 69?
First, calculate the GCD of 78 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 69 = 1 remainder 9 |
| 2 | 69 ÷ 9 = 7 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 33 | 2145 |
| 90 and 61 | 5490 |
| 181 and 164 | 29684 |
| 149 and 162 | 24138 |
| 33 and 101 | 3333 |