Least Common Multiple (LCM) of 183 and 176
The least common multiple (LCM) of 183 and 176 is 32208.
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 183 and 176?
First, calculate the GCD of 183 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 176 = 1 remainder 7 |
| 2 | 176 ÷ 7 = 25 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 85 | 2210 |
| 104 and 146 | 7592 |
| 171 and 125 | 21375 |
| 106 and 136 | 7208 |
| 120 and 20 | 120 |