Least Common Multiple (LCM) of 80 and 190
The least common multiple (LCM) of 80 and 190 is 1520.
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 80 and 190?
First, calculate the GCD of 80 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 190 = 0 remainder 80 |
| 2 | 190 ÷ 80 = 2 remainder 30 |
| 3 | 80 ÷ 30 = 2 remainder 20 |
| 4 | 30 ÷ 20 = 1 remainder 10 |
| 5 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 138 | 9798 |
| 200 and 78 | 7800 |
| 137 and 67 | 9179 |
| 153 and 126 | 2142 |
| 156 and 31 | 4836 |