Least Common Multiple (LCM) of 190 and 87
The least common multiple (LCM) of 190 and 87 is 16530.
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 190 and 87?
First, calculate the GCD of 190 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 87 = 2 remainder 16 |
| 2 | 87 ÷ 16 = 5 remainder 7 |
| 3 | 16 ÷ 7 = 2 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 140 | 140 |
| 169 and 133 | 22477 |
| 78 and 100 | 3900 |
| 36 and 188 | 1692 |
| 101 and 49 | 4949 |