Least Common Multiple (LCM) of 174 and 16
The least common multiple (LCM) of 174 and 16 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 174 and 16?
First, calculate the GCD of 174 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 16 = 10 remainder 14 |
| 2 | 16 ÷ 14 = 1 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 72 | 4680 |
| 138 and 96 | 2208 |
| 19 and 122 | 2318 |
| 80 and 108 | 2160 |
| 186 and 126 | 3906 |