Least Common Multiple (LCM) of 103 and 161
The least common multiple (LCM) of 103 and 161 is 16583.
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 103 and 161?
First, calculate the GCD of 103 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 161 = 0 remainder 103 |
| 2 | 161 ÷ 103 = 1 remainder 58 |
| 3 | 103 ÷ 58 = 1 remainder 45 |
| 4 | 58 ÷ 45 = 1 remainder 13 |
| 5 | 45 ÷ 13 = 3 remainder 6 |
| 6 | 13 ÷ 6 = 2 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 159 | 27984 |
| 198 and 37 | 7326 |
| 75 and 135 | 675 |
| 112 and 173 | 19376 |
| 39 and 14 | 546 |