Least Common Multiple (LCM) of 187 and 192
The least common multiple (LCM) of 187 and 192 is 35904.
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 192?
First, calculate the GCD of 187 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 192 = 0 remainder 187 |
| 2 | 192 ÷ 187 = 1 remainder 5 |
| 3 | 187 ÷ 5 = 37 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 14 | 2338 |
| 159 and 191 | 30369 |
| 194 and 62 | 6014 |
| 196 and 180 | 8820 |
| 163 and 31 | 5053 |