Least Common Multiple (LCM) of 182 and 52
The least common multiple (LCM) of 182 and 52 is 364.
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 52?
First, calculate the GCD of 182 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 52 = 3 remainder 26 |
| 2 | 52 ÷ 26 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 144 | 20880 |
| 128 and 192 | 384 |
| 144 and 30 | 720 |
| 24 and 159 | 1272 |
| 28 and 109 | 3052 |