Least Common Multiple (LCM) of 179 and 131
The least common multiple (LCM) of 179 and 131 is 23449.
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 179 and 131?
First, calculate the GCD of 179 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 131 = 1 remainder 48 |
| 2 | 131 ÷ 48 = 2 remainder 35 |
| 3 | 48 ÷ 35 = 1 remainder 13 |
| 4 | 35 ÷ 13 = 2 remainder 9 |
| 5 | 13 ÷ 9 = 1 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 165 | 9405 |
| 22 and 115 | 2530 |
| 129 and 25 | 3225 |
| 132 and 190 | 12540 |
| 14 and 102 | 714 |