Least Common Multiple (LCM) of 48 and 187
The least common multiple (LCM) of 48 and 187 is 8976.
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 48 and 187?
First, calculate the GCD of 48 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 187 = 0 remainder 48 |
| 2 | 187 ÷ 48 = 3 remainder 43 |
| 3 | 48 ÷ 43 = 1 remainder 5 |
| 4 | 43 ÷ 5 = 8 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 118 | 21594 |
| 107 and 114 | 12198 |
| 25 and 196 | 4900 |
| 67 and 187 | 12529 |
| 183 and 42 | 2562 |