Least Common Multiple (LCM) of 131 and 48
The least common multiple (LCM) of 131 and 48 is 6288.
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 48?
First, calculate the GCD of 131 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 48 = 2 remainder 35 |
| 2 | 48 ÷ 35 = 1 remainder 13 |
| 3 | 35 ÷ 13 = 2 remainder 9 |
| 4 | 13 ÷ 9 = 1 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 168 | 18312 |
| 48 and 25 | 1200 |
| 188 and 165 | 31020 |
| 32 and 186 | 2976 |
| 155 and 53 | 8215 |