Least Common Multiple (LCM) of 187 and 145
The least common multiple (LCM) of 187 and 145 is 27115.
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 145?
First, calculate the GCD of 187 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 145 = 1 remainder 42 |
| 2 | 145 ÷ 42 = 3 remainder 19 |
| 3 | 42 ÷ 19 = 2 remainder 4 |
| 4 | 19 ÷ 4 = 4 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 139 | 22657 |
| 135 and 171 | 2565 |
| 108 and 95 | 10260 |
| 86 and 147 | 12642 |
| 111 and 58 | 6438 |