Least Common Multiple (LCM) of 188 and 48
The least common multiple (LCM) of 188 and 48 is 2256.
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 48?
First, calculate the GCD of 188 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 48 = 3 remainder 44 |
| 2 | 48 ÷ 44 = 1 remainder 4 |
| 3 | 44 ÷ 4 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 198 | 1188 |
| 175 and 153 | 26775 |
| 109 and 197 | 21473 |
| 37 and 17 | 629 |
| 81 and 191 | 15471 |