Least Common Multiple (LCM) of 182 and 155
The least common multiple (LCM) of 182 and 155 is 28210.
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 155?
First, calculate the GCD of 182 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 155 = 1 remainder 27 |
| 2 | 155 ÷ 27 = 5 remainder 20 |
| 3 | 27 ÷ 20 = 1 remainder 7 |
| 4 | 20 ÷ 7 = 2 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 97 | 17751 |
| 85 and 103 | 8755 |
| 154 and 184 | 14168 |
| 56 and 109 | 6104 |
| 34 and 47 | 1598 |