Least Common Multiple (LCM) of 174 and 81
The least common multiple (LCM) of 174 and 81 is 4698.
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 174 and 81?
First, calculate the GCD of 174 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 81 = 2 remainder 12 |
| 2 | 81 ÷ 12 = 6 remainder 9 |
| 3 | 12 ÷ 9 = 1 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 182 | 9646 |
| 132 and 75 | 3300 |
| 177 and 19 | 3363 |
| 111 and 132 | 4884 |
| 141 and 75 | 3525 |