Least Common Multiple (LCM) of 160 and 183
The least common multiple (LCM) of 160 and 183 is 29280.
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 183?
First, calculate the GCD of 160 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 183 = 0 remainder 160 |
| 2 | 183 ÷ 160 = 1 remainder 23 |
| 3 | 160 ÷ 23 = 6 remainder 22 |
| 4 | 23 ÷ 22 = 1 remainder 1 |
| 5 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 41 | 41 |
| 196 and 142 | 13916 |
| 36 and 153 | 612 |
| 156 and 122 | 9516 |
| 85 and 123 | 10455 |