Least Common Multiple (LCM) of 131 and 143
The least common multiple (LCM) of 131 and 143 is 18733.
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 143?
First, calculate the GCD of 131 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 143 = 0 remainder 131 |
| 2 | 143 ÷ 131 = 1 remainder 12 |
| 3 | 131 ÷ 12 = 10 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 69 | 2001 |
| 199 and 157 | 31243 |
| 19 and 73 | 1387 |
| 27 and 144 | 432 |
| 21 and 52 | 1092 |