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 |
|---|---|
| 181 and 196 | 35476 |
| 193 and 83 | 16019 |
| 43 and 163 | 7009 |
| 26 and 13 | 26 |
| 61 and 51 | 3111 |