Least Common Multiple (LCM) of 190 and 182
The least common multiple (LCM) of 190 and 182 is 17290.
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 182?
First, calculate the GCD of 190 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 182 = 1 remainder 8 |
| 2 | 182 ÷ 8 = 22 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 72 | 1800 |
| 102 and 182 | 9282 |
| 143 and 122 | 17446 |
| 130 and 112 | 7280 |
| 146 and 11 | 1606 |