Least Common Multiple (LCM) of 182 and 164
The least common multiple (LCM) of 182 and 164 is 14924.
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 164?
First, calculate the GCD of 182 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 164 = 1 remainder 18 |
| 2 | 164 ÷ 18 = 9 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 153 | 10863 |
| 102 and 139 | 14178 |
| 123 and 158 | 19434 |
| 199 and 11 | 2189 |
| 156 and 100 | 3900 |