Least Common Multiple (LCM) of 188 and 183
The least common multiple (LCM) of 188 and 183 is 34404.
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 188 and 183?
First, calculate the GCD of 188 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 183 = 1 remainder 5 |
| 2 | 183 ÷ 5 = 36 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 49 | 2842 |
| 34 and 39 | 1326 |
| 63 and 126 | 126 |
| 182 and 23 | 4186 |
| 112 and 80 | 560 |