Least Common Multiple (LCM) of 181 and 24
The least common multiple (LCM) of 181 and 24 is 4344.
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 24?
First, calculate the GCD of 181 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 24 = 7 remainder 13 |
| 2 | 24 ÷ 13 = 1 remainder 11 |
| 3 | 13 ÷ 11 = 1 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 67 | 12797 |
| 126 and 85 | 10710 |
| 139 and 160 | 22240 |
| 103 and 138 | 14214 |
| 70 and 199 | 13930 |