Least Common Multiple (LCM) of 168 and 77
The least common multiple (LCM) of 168 and 77 is 1848.
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 168 and 77?
First, calculate the GCD of 168 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 77 = 2 remainder 14 |
| 2 | 77 ÷ 14 = 5 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 27 | 2079 |
| 12 and 172 | 516 |
| 155 and 75 | 2325 |
| 181 and 198 | 35838 |
| 71 and 107 | 7597 |