Least Common Multiple (LCM) of 16 and 174
The least common multiple (LCM) of 16 and 174 is 1392.
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 16 and 174?
First, calculate the GCD of 16 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 174 = 0 remainder 16 |
| 2 | 174 ÷ 16 = 10 remainder 14 |
| 3 | 16 ÷ 14 = 1 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 54 | 5562 |
| 102 and 165 | 5610 |
| 94 and 146 | 6862 |
| 137 and 89 | 12193 |
| 181 and 84 | 15204 |