Least Common Multiple (LCM) of 131 and 176
The least common multiple (LCM) of 131 and 176 is 23056.
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 176?
First, calculate the GCD of 131 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 176 = 0 remainder 131 |
| 2 | 176 ÷ 131 = 1 remainder 45 |
| 3 | 131 ÷ 45 = 2 remainder 41 |
| 4 | 45 ÷ 41 = 1 remainder 4 |
| 5 | 41 ÷ 4 = 10 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 119 | 14399 |
| 56 and 30 | 840 |
| 89 and 10 | 890 |
| 114 and 64 | 3648 |
| 175 and 177 | 30975 |