Least Common Multiple (LCM) of 159 and 173
The least common multiple (LCM) of 159 and 173 is 27507.
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 173?
First, calculate the GCD of 159 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 173 = 0 remainder 159 |
| 2 | 173 ÷ 159 = 1 remainder 14 |
| 3 | 159 ÷ 14 = 11 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 143 | 2145 |
| 135 and 168 | 7560 |
| 42 and 13 | 546 |
| 135 and 84 | 3780 |
| 178 and 154 | 13706 |