Least Common Multiple (LCM) of 32 and 159
The least common multiple (LCM) of 32 and 159 is 5088.
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 32 and 159?
First, calculate the GCD of 32 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 159 = 0 remainder 32 |
| 2 | 159 ÷ 32 = 4 remainder 31 |
| 3 | 32 ÷ 31 = 1 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 115 | 12305 |
| 176 and 119 | 20944 |
| 57 and 74 | 4218 |
| 84 and 96 | 672 |
| 127 and 127 | 127 |