Least Common Multiple (LCM) of 160 and 190
The least common multiple (LCM) of 160 and 190 is 3040.
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 160 and 190?
First, calculate the GCD of 160 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 190 = 0 remainder 160 |
| 2 | 190 ÷ 160 = 1 remainder 30 |
| 3 | 160 ÷ 30 = 5 remainder 10 |
| 4 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 23 | 138 |
| 68 and 153 | 612 |
| 107 and 146 | 15622 |
| 12 and 55 | 660 |
| 191 and 41 | 7831 |