Least Common Multiple (LCM) of 131 and 51
The least common multiple (LCM) of 131 and 51 is 6681.
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 51?
First, calculate the GCD of 131 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 51 = 2 remainder 29 |
| 2 | 51 ÷ 29 = 1 remainder 22 |
| 3 | 29 ÷ 22 = 1 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 48 | 1488 |
| 142 and 37 | 5254 |
| 42 and 174 | 1218 |
| 151 and 19 | 2869 |
| 10 and 60 | 60 |