Least Common Multiple (LCM) of 143 and 191
The least common multiple (LCM) of 143 and 191 is 27313.
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 143 and 191?
First, calculate the GCD of 143 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 191 = 0 remainder 143 |
| 2 | 191 ÷ 143 = 1 remainder 48 |
| 3 | 143 ÷ 48 = 2 remainder 47 |
| 4 | 48 ÷ 47 = 1 remainder 1 |
| 5 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 42 | 966 |
| 33 and 136 | 4488 |
| 108 and 66 | 1188 |
| 144 and 133 | 19152 |
| 17 and 16 | 272 |