Least Common Multiple (LCM) of 23 and 181
The least common multiple (LCM) of 23 and 181 is 4163.
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 23 and 181?
First, calculate the GCD of 23 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 181 = 0 remainder 23 |
| 2 | 181 ÷ 23 = 7 remainder 20 |
| 3 | 23 ÷ 20 = 1 remainder 3 |
| 4 | 20 ÷ 3 = 6 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 45 | 3420 |
| 44 and 50 | 1100 |
| 147 and 160 | 23520 |
| 117 and 100 | 11700 |
| 48 and 135 | 2160 |