Least Common Multiple (LCM) of 78 and 166
The least common multiple (LCM) of 78 and 166 is 6474.
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 166?
First, calculate the GCD of 78 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 166 = 0 remainder 78 |
| 2 | 166 ÷ 78 = 2 remainder 10 |
| 3 | 78 ÷ 10 = 7 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 77 | 5775 |
| 138 and 174 | 4002 |
| 176 and 100 | 4400 |
| 100 and 83 | 8300 |
| 60 and 21 | 420 |