Least Common Multiple (LCM) of 182 and 149
The least common multiple (LCM) of 182 and 149 is 27118.
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 182 and 149?
First, calculate the GCD of 182 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 149 = 1 remainder 33 |
| 2 | 149 ÷ 33 = 4 remainder 17 |
| 3 | 33 ÷ 17 = 1 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 113 | 19549 |
| 107 and 67 | 7169 |
| 66 and 13 | 858 |
| 95 and 107 | 10165 |
| 182 and 193 | 35126 |