Least Common Multiple (LCM) of 130 and 161
The least common multiple (LCM) of 130 and 161 is 20930.
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 130 and 161?
First, calculate the GCD of 130 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 161 = 0 remainder 130 |
| 2 | 161 ÷ 130 = 1 remainder 31 |
| 3 | 130 ÷ 31 = 4 remainder 6 |
| 4 | 31 ÷ 6 = 5 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 150 | 1050 |
| 125 and 146 | 18250 |
| 11 and 22 | 22 |
| 39 and 34 | 1326 |
| 148 and 13 | 1924 |