Least Common Multiple (LCM) of 160 and 182
The least common multiple (LCM) of 160 and 182 is 14560.
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 160 and 182?
First, calculate the GCD of 160 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 182 = 0 remainder 160 |
| 2 | 182 ÷ 160 = 1 remainder 22 |
| 3 | 160 ÷ 22 = 7 remainder 6 |
| 4 | 22 ÷ 6 = 3 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 159 | 7632 |
| 195 and 149 | 29055 |
| 165 and 80 | 2640 |
| 111 and 145 | 16095 |
| 80 and 132 | 2640 |