Least Common Multiple (LCM) of 187 and 155
The least common multiple (LCM) of 187 and 155 is 28985.
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 155?
First, calculate the GCD of 187 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 155 = 1 remainder 32 |
| 2 | 155 ÷ 32 = 4 remainder 27 |
| 3 | 32 ÷ 27 = 1 remainder 5 |
| 4 | 27 ÷ 5 = 5 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 40 | 3880 |
| 16 and 152 | 304 |
| 135 and 109 | 14715 |
| 74 and 174 | 6438 |
| 11 and 33 | 33 |