Least Common Multiple (LCM) of 187 and 95
The least common multiple (LCM) of 187 and 95 is 17765.
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 187 and 95?
First, calculate the GCD of 187 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 95 = 1 remainder 92 |
| 2 | 95 ÷ 92 = 1 remainder 3 |
| 3 | 92 ÷ 3 = 30 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 74 | 7104 |
| 196 and 110 | 10780 |
| 21 and 138 | 966 |
| 145 and 191 | 27695 |
| 185 and 167 | 30895 |