Least Common Multiple (LCM) of 181 and 113
The least common multiple (LCM) of 181 and 113 is 20453.
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 181 and 113?
First, calculate the GCD of 181 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 113 = 1 remainder 68 |
| 2 | 113 ÷ 68 = 1 remainder 45 |
| 3 | 68 ÷ 45 = 1 remainder 23 |
| 4 | 45 ÷ 23 = 1 remainder 22 |
| 5 | 23 ÷ 22 = 1 remainder 1 |
| 6 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 113 | 15029 |
| 105 and 85 | 1785 |
| 14 and 129 | 1806 |
| 79 and 141 | 11139 |
| 10 and 64 | 320 |