Least Common Multiple (LCM) of 161 and 103
The least common multiple (LCM) of 161 and 103 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 161 and 103?
First, calculate the GCD of 161 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 103 = 1 remainder 58 |
| 2 | 103 ÷ 58 = 1 remainder 45 |
| 3 | 58 ÷ 45 = 1 remainder 13 |
| 4 | 45 ÷ 13 = 3 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 156 | 1404 |
| 69 and 122 | 8418 |
| 45 and 184 | 8280 |
| 120 and 47 | 5640 |
| 55 and 160 | 1760 |