Least Common Multiple (LCM) of 159 and 183
The least common multiple (LCM) of 159 and 183 is 9699.
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 183?
First, calculate the GCD of 159 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 183 = 0 remainder 159 |
| 2 | 183 ÷ 159 = 1 remainder 24 |
| 3 | 159 ÷ 24 = 6 remainder 15 |
| 4 | 24 ÷ 15 = 1 remainder 9 |
| 5 | 15 ÷ 9 = 1 remainder 6 |
| 6 | 9 ÷ 6 = 1 remainder 3 |
| 7 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 101 | 10302 |
| 87 and 126 | 3654 |
| 29 and 198 | 5742 |
| 88 and 157 | 13816 |
| 95 and 67 | 6365 |