Least Common Multiple (LCM) of 181 and 134
The least common multiple (LCM) of 181 and 134 is 24254.
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 134?
First, calculate the GCD of 181 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 134 = 1 remainder 47 |
| 2 | 134 ÷ 47 = 2 remainder 40 |
| 3 | 47 ÷ 40 = 1 remainder 7 |
| 4 | 40 ÷ 7 = 5 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 53 | 5936 |
| 41 and 64 | 2624 |
| 147 and 116 | 17052 |
| 153 and 174 | 8874 |
| 159 and 72 | 3816 |