Least Common Multiple (LCM) of 130 and 179
The least common multiple (LCM) of 130 and 179 is 23270.
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 179?
First, calculate the GCD of 130 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 179 = 0 remainder 130 |
| 2 | 179 ÷ 130 = 1 remainder 49 |
| 3 | 130 ÷ 49 = 2 remainder 32 |
| 4 | 49 ÷ 32 = 1 remainder 17 |
| 5 | 32 ÷ 17 = 1 remainder 15 |
| 6 | 17 ÷ 15 = 1 remainder 2 |
| 7 | 15 ÷ 2 = 7 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 35 | 455 |
| 177 and 134 | 23718 |
| 123 and 76 | 9348 |
| 173 and 77 | 13321 |
| 191 and 149 | 28459 |