Least Common Multiple (LCM) of 161 and 190
The least common multiple (LCM) of 161 and 190 is 30590.
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 161 and 190?
First, calculate the GCD of 161 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 190 = 0 remainder 161 |
| 2 | 190 ÷ 161 = 1 remainder 29 |
| 3 | 161 ÷ 29 = 5 remainder 16 |
| 4 | 29 ÷ 16 = 1 remainder 13 |
| 5 | 16 ÷ 13 = 1 remainder 3 |
| 6 | 13 ÷ 3 = 4 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 137 | 10686 |
| 73 and 89 | 6497 |
| 113 and 178 | 20114 |
| 197 and 80 | 15760 |
| 12 and 164 | 492 |