Least Common Multiple (LCM) of 130 and 176
The least common multiple (LCM) of 130 and 176 is 11440.
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 176?
First, calculate the GCD of 130 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 176 = 0 remainder 130 |
| 2 | 176 ÷ 130 = 1 remainder 46 |
| 3 | 130 ÷ 46 = 2 remainder 38 |
| 4 | 46 ÷ 38 = 1 remainder 8 |
| 5 | 38 ÷ 8 = 4 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 10 | 590 |
| 148 and 108 | 3996 |
| 140 and 24 | 840 |
| 53 and 82 | 4346 |
| 177 and 99 | 5841 |