Least Common Multiple (LCM) of 162 and 182
The least common multiple (LCM) of 162 and 182 is 14742.
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 162 and 182?
First, calculate the GCD of 162 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 182 = 0 remainder 162 |
| 2 | 182 ÷ 162 = 1 remainder 20 |
| 3 | 162 ÷ 20 = 8 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 153 | 13617 |
| 100 and 136 | 3400 |
| 165 and 64 | 10560 |
| 18 and 168 | 504 |
| 122 and 23 | 2806 |