Least Common Multiple (LCM) of 161 and 130
The least common multiple (LCM) of 161 and 130 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 161 and 130?
First, calculate the GCD of 161 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 130 = 1 remainder 31 |
| 2 | 130 ÷ 31 = 4 remainder 6 |
| 3 | 31 ÷ 6 = 5 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 169 | 18928 |
| 168 and 150 | 4200 |
| 108 and 183 | 6588 |
| 121 and 77 | 847 |
| 153 and 161 | 24633 |