Least Common Multiple (LCM) of 174 and 181
The least common multiple (LCM) of 174 and 181 is 31494.
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 181?
First, calculate the GCD of 174 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 181 = 0 remainder 174 |
| 2 | 181 ÷ 174 = 1 remainder 7 |
| 3 | 174 ÷ 7 = 24 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 132 | 132 |
| 176 and 149 | 26224 |
| 132 and 96 | 1056 |
| 184 and 85 | 15640 |
| 42 and 14 | 42 |