Least Common Multiple (LCM) of 176 and 130
The least common multiple (LCM) of 176 and 130 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 176 and 130?
First, calculate the GCD of 176 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 130 = 1 remainder 46 |
| 2 | 130 ÷ 46 = 2 remainder 38 |
| 3 | 46 ÷ 38 = 1 remainder 8 |
| 4 | 38 ÷ 8 = 4 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 138 | 17526 |
| 120 and 105 | 840 |
| 28 and 189 | 756 |
| 178 and 174 | 15486 |
| 159 and 70 | 11130 |