Least Common Multiple (LCM) of 159 and 28
The least common multiple (LCM) of 159 and 28 is 4452.
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 28?
First, calculate the GCD of 159 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 28 = 5 remainder 19 |
| 2 | 28 ÷ 19 = 1 remainder 9 |
| 3 | 19 ÷ 9 = 2 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 129 | 4128 |
| 138 and 175 | 24150 |
| 53 and 170 | 9010 |
| 70 and 69 | 4830 |
| 147 and 72 | 3528 |