Least Common Multiple (LCM) of 182 and 102
The least common multiple (LCM) of 182 and 102 is 9282.
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 102?
First, calculate the GCD of 182 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 102 = 1 remainder 80 |
| 2 | 102 ÷ 80 = 1 remainder 22 |
| 3 | 80 ÷ 22 = 3 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 145 | 25810 |
| 13 and 174 | 2262 |
| 74 and 30 | 1110 |
| 81 and 11 | 891 |
| 41 and 200 | 8200 |