Least Common Multiple (LCM) of 32 and 143
The least common multiple (LCM) of 32 and 143 is 4576.
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 143?
First, calculate the GCD of 32 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 143 = 0 remainder 32 |
| 2 | 143 ÷ 32 = 4 remainder 15 |
| 3 | 32 ÷ 15 = 2 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 168 | 10248 |
| 104 and 76 | 1976 |
| 110 and 170 | 1870 |
| 123 and 159 | 6519 |
| 174 and 91 | 15834 |