Least Common Multiple (LCM) of 159 and 184
The least common multiple (LCM) of 159 and 184 is 29256.
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 159 and 184?
First, calculate the GCD of 159 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 184 = 0 remainder 159 |
| 2 | 184 ÷ 159 = 1 remainder 25 |
| 3 | 159 ÷ 25 = 6 remainder 9 |
| 4 | 25 ÷ 9 = 2 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 160 | 7840 |
| 179 and 170 | 30430 |
| 96 and 10 | 480 |
| 183 and 109 | 19947 |
| 198 and 65 | 12870 |