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 |
|---|---|
| 173 and 87 | 15051 |
| 32 and 101 | 3232 |
| 45 and 19 | 855 |
| 102 and 107 | 10914 |
| 197 and 193 | 38021 |