Least Common Multiple (LCM) of 182 and 151
The least common multiple (LCM) of 182 and 151 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 182 and 151?
First, calculate the GCD of 182 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 151 = 1 remainder 31 |
| 2 | 151 ÷ 31 = 4 remainder 27 |
| 3 | 31 ÷ 27 = 1 remainder 4 |
| 4 | 27 ÷ 4 = 6 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 17 | 2550 |
| 124 and 57 | 7068 |
| 151 and 102 | 15402 |
| 53 and 116 | 6148 |
| 54 and 85 | 4590 |