Least Common Multiple (LCM) of 190 and 102
The least common multiple (LCM) of 190 and 102 is 9690.
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 102?
First, calculate the GCD of 190 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 102 = 1 remainder 88 |
| 2 | 102 ÷ 88 = 1 remainder 14 |
| 3 | 88 ÷ 14 = 6 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 144 | 1872 |
| 65 and 97 | 6305 |
| 99 and 182 | 18018 |
| 53 and 181 | 9593 |
| 157 and 142 | 22294 |