Least Common Multiple (LCM) of 151 and 182
The least common multiple (LCM) of 151 and 182 is 27482.
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 151 and 182?
First, calculate the GCD of 151 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 182 = 0 remainder 151 |
| 2 | 182 ÷ 151 = 1 remainder 31 |
| 3 | 151 ÷ 31 = 4 remainder 27 |
| 4 | 31 ÷ 27 = 1 remainder 4 |
| 5 | 27 ÷ 4 = 6 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 133 | 3192 |
| 165 and 76 | 12540 |
| 177 and 21 | 1239 |
| 65 and 181 | 11765 |
| 137 and 200 | 27400 |