Least Common Multiple (LCM) of 18 and 177
The least common multiple (LCM) of 18 and 177 is 1062.
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 18 and 177?
First, calculate the GCD of 18 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 177 = 0 remainder 18 |
| 2 | 177 ÷ 18 = 9 remainder 15 |
| 3 | 18 ÷ 15 = 1 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 14 | 406 |
| 42 and 65 | 2730 |
| 112 and 91 | 1456 |
| 181 and 194 | 35114 |
| 140 and 84 | 420 |