Least Common Multiple (LCM) of 182 and 64
The least common multiple (LCM) of 182 and 64 is 5824.
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 64?
First, calculate the GCD of 182 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 64 = 2 remainder 54 |
| 2 | 64 ÷ 54 = 1 remainder 10 |
| 3 | 54 ÷ 10 = 5 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 53 | 8321 |
| 143 and 24 | 3432 |
| 68 and 190 | 6460 |
| 101 and 126 | 12726 |
| 172 and 116 | 4988 |