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 |
|---|---|
| 111 and 167 | 18537 |
| 175 and 176 | 30800 |
| 185 and 58 | 10730 |
| 64 and 48 | 192 |
| 185 and 139 | 25715 |