Least Common Multiple (LCM) of 187 and 190
The least common multiple (LCM) of 187 and 190 is 35530.
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 190?
First, calculate the GCD of 187 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 190 = 0 remainder 187 |
| 2 | 190 ÷ 187 = 1 remainder 3 |
| 3 | 187 ÷ 3 = 62 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 49 | 735 |
| 42 and 96 | 672 |
| 128 and 51 | 6528 |
| 187 and 152 | 28424 |
| 146 and 42 | 3066 |