Least Common Multiple (LCM) of 181 and 114
The least common multiple (LCM) of 181 and 114 is 20634.
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 114?
First, calculate the GCD of 181 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 114 = 1 remainder 67 |
| 2 | 114 ÷ 67 = 1 remainder 47 |
| 3 | 67 ÷ 47 = 1 remainder 20 |
| 4 | 47 ÷ 20 = 2 remainder 7 |
| 5 | 20 ÷ 7 = 2 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 37 | 7104 |
| 102 and 34 | 102 |
| 110 and 155 | 3410 |
| 30 and 61 | 1830 |
| 54 and 67 | 3618 |