Least Common Multiple (LCM) of 159 and 72
The least common multiple (LCM) of 159 and 72 is 3816.
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 72?
First, calculate the GCD of 159 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 72 = 2 remainder 15 |
| 2 | 72 ÷ 15 = 4 remainder 12 |
| 3 | 15 ÷ 12 = 1 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 23 | 4485 |
| 86 and 80 | 3440 |
| 177 and 54 | 3186 |
| 96 and 142 | 6816 |
| 141 and 144 | 6768 |