Least Common Multiple (LCM) of 18 and 174
The least common multiple (LCM) of 18 and 174 is 522.
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 174?
First, calculate the GCD of 18 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 174 = 0 remainder 18 |
| 2 | 174 ÷ 18 = 9 remainder 12 |
| 3 | 18 ÷ 12 = 1 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 82 | 10578 |
| 160 and 94 | 7520 |
| 181 and 24 | 4344 |
| 128 and 200 | 3200 |
| 167 and 192 | 32064 |