Least Common Multiple (LCM) of 131 and 53
The least common multiple (LCM) of 131 and 53 is 6943.
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 53?
First, calculate the GCD of 131 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 53 = 2 remainder 25 |
| 2 | 53 ÷ 25 = 2 remainder 3 |
| 3 | 25 ÷ 3 = 8 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 20 | 860 |
| 85 and 131 | 11135 |
| 101 and 118 | 11918 |
| 68 and 69 | 4692 |
| 46 and 39 | 1794 |