Least Common Multiple (LCM) of 131 and 52
The least common multiple (LCM) of 131 and 52 is 6812.
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 52?
First, calculate the GCD of 131 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 52 = 2 remainder 27 |
| 2 | 52 ÷ 27 = 1 remainder 25 |
| 3 | 27 ÷ 25 = 1 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 151 | 28086 |
| 154 and 67 | 10318 |
| 47 and 34 | 1598 |
| 20 and 28 | 140 |
| 131 and 91 | 11921 |