Least Common Multiple (LCM) of 187 and 195
The least common multiple (LCM) of 187 and 195 is 36465.
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 195?
First, calculate the GCD of 187 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 195 = 0 remainder 187 |
| 2 | 195 ÷ 187 = 1 remainder 8 |
| 3 | 187 ÷ 8 = 23 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 169 | 12337 |
| 144 and 46 | 3312 |
| 146 and 90 | 6570 |
| 105 and 169 | 17745 |
| 132 and 157 | 20724 |