Least Common Multiple (LCM) of 181 and 34
The least common multiple (LCM) of 181 and 34 is 6154.
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 34?
First, calculate the GCD of 181 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 34 = 5 remainder 11 |
| 2 | 34 ÷ 11 = 3 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 33 | 3696 |
| 149 and 53 | 7897 |
| 178 and 145 | 25810 |
| 36 and 131 | 4716 |
| 174 and 198 | 5742 |