Least Common Multiple (LCM) of 14 and 181
The least common multiple (LCM) of 14 and 181 is 2534.
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 14 and 181?
First, calculate the GCD of 14 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 181 = 0 remainder 14 |
| 2 | 181 ÷ 14 = 12 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 61 | 8113 |
| 32 and 60 | 480 |
| 110 and 70 | 770 |
| 121 and 113 | 13673 |
| 165 and 104 | 17160 |