Least Common Multiple (LCM) of 78 and 33
The least common multiple (LCM) of 78 and 33 is 858.
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 33?
First, calculate the GCD of 78 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 33 = 2 remainder 12 |
| 2 | 33 ÷ 12 = 2 remainder 9 |
| 3 | 12 ÷ 9 = 1 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 80 | 13520 |
| 24 and 181 | 4344 |
| 140 and 172 | 6020 |
| 106 and 52 | 2756 |
| 27 and 89 | 2403 |