Least Common Multiple (LCM) of 171 and 16
The least common multiple (LCM) of 171 and 16 is 2736.
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 171 and 16?
First, calculate the GCD of 171 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 16 = 10 remainder 11 |
| 2 | 16 ÷ 11 = 1 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 138 | 10212 |
| 56 and 44 | 616 |
| 51 and 17 | 51 |
| 98 and 69 | 6762 |
| 113 and 35 | 3955 |