Least Common Multiple (LCM) of 182 and 160
The least common multiple (LCM) of 182 and 160 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 182 and 160?
First, calculate the GCD of 182 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 160 = 1 remainder 22 |
| 2 | 160 ÷ 22 = 7 remainder 6 |
| 3 | 22 ÷ 6 = 3 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 105 | 630 |
| 34 and 74 | 1258 |
| 97 and 62 | 6014 |
| 49 and 169 | 8281 |
| 172 and 132 | 5676 |