Least Common Multiple (LCM) of 164 and 182
The least common multiple (LCM) of 164 and 182 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 164 and 182?
First, calculate the GCD of 164 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 182 = 0 remainder 164 |
| 2 | 182 ÷ 164 = 1 remainder 18 |
| 3 | 164 ÷ 18 = 9 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 160 | 1440 |
| 89 and 56 | 4984 |
| 198 and 132 | 396 |
| 92 and 61 | 5612 |
| 113 and 129 | 14577 |