Least Common Multiple (LCM) of 75 and 187
The least common multiple (LCM) of 75 and 187 is 14025.
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 75 and 187?
First, calculate the GCD of 75 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 187 = 0 remainder 75 |
| 2 | 187 ÷ 75 = 2 remainder 37 |
| 3 | 75 ÷ 37 = 2 remainder 1 |
| 4 | 37 ÷ 1 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 44 | 44 |
| 164 and 132 | 5412 |
| 89 and 197 | 17533 |
| 14 and 64 | 448 |
| 107 and 84 | 8988 |