Least Common Multiple (LCM) of 130 and 166
The least common multiple (LCM) of 130 and 166 is 10790.
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 166?
First, calculate the GCD of 130 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 166 = 0 remainder 130 |
| 2 | 166 ÷ 130 = 1 remainder 36 |
| 3 | 130 ÷ 36 = 3 remainder 22 |
| 4 | 36 ÷ 22 = 1 remainder 14 |
| 5 | 22 ÷ 14 = 1 remainder 8 |
| 6 | 14 ÷ 8 = 1 remainder 6 |
| 7 | 8 ÷ 6 = 1 remainder 2 |
| 8 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 166 | 15438 |
| 135 and 66 | 2970 |
| 43 and 182 | 7826 |
| 111 and 30 | 1110 |
| 162 and 42 | 1134 |