Least Common Multiple (LCM) of 182 and 54
The least common multiple (LCM) of 182 and 54 is 4914.
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 54?
First, calculate the GCD of 182 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 54 = 3 remainder 20 |
| 2 | 54 ÷ 20 = 2 remainder 14 |
| 3 | 20 ÷ 14 = 1 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 147 | 1470 |
| 120 and 98 | 5880 |
| 194 and 85 | 16490 |
| 157 and 70 | 10990 |
| 158 and 166 | 13114 |