Least Common Multiple (LCM) of 32 and 183
The least common multiple (LCM) of 32 and 183 is 5856.
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 183?
First, calculate the GCD of 32 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 183 = 0 remainder 32 |
| 2 | 183 ÷ 32 = 5 remainder 23 |
| 3 | 32 ÷ 23 = 1 remainder 9 |
| 4 | 23 ÷ 9 = 2 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 134 | 3082 |
| 116 and 47 | 5452 |
| 77 and 125 | 9625 |
| 109 and 162 | 17658 |
| 139 and 94 | 13066 |