Least Common Multiple (LCM) of 190 and 180
The least common multiple (LCM) of 190 and 180 is 3420.
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 180?
First, calculate the GCD of 190 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 180 = 1 remainder 10 |
| 2 | 180 ÷ 10 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 37 | 3589 |
| 120 and 167 | 20040 |
| 183 and 187 | 34221 |
| 22 and 103 | 2266 |
| 179 and 83 | 14857 |