Least Common Multiple (LCM) of 168 and 130
The least common multiple (LCM) of 168 and 130 is 10920.
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 168 and 130?
First, calculate the GCD of 168 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 130 = 1 remainder 38 |
| 2 | 130 ÷ 38 = 3 remainder 16 |
| 3 | 38 ÷ 16 = 2 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 45 | 5760 |
| 154 and 14 | 154 |
| 183 and 185 | 33855 |
| 197 and 68 | 13396 |
| 30 and 148 | 2220 |