Least Common Multiple (LCM) of 131 and 179
The least common multiple (LCM) of 131 and 179 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 131 and 179?
First, calculate the GCD of 131 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 179 = 0 remainder 131 |
| 2 | 179 ÷ 131 = 1 remainder 48 |
| 3 | 131 ÷ 48 = 2 remainder 35 |
| 4 | 48 ÷ 35 = 1 remainder 13 |
| 5 | 35 ÷ 13 = 2 remainder 9 |
| 6 | 13 ÷ 9 = 1 remainder 4 |
| 7 | 9 ÷ 4 = 2 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 178 | 16020 |
| 101 and 58 | 5858 |
| 193 and 40 | 7720 |
| 29 and 146 | 4234 |
| 72 and 160 | 1440 |