Least Common Multiple (LCM) of 143 and 148
The least common multiple (LCM) of 143 and 148 is 21164.
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 148?
First, calculate the GCD of 143 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 148 = 0 remainder 143 |
| 2 | 148 ÷ 143 = 1 remainder 5 |
| 3 | 143 ÷ 5 = 28 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 114 | 19266 |
| 190 and 198 | 18810 |
| 144 and 179 | 25776 |
| 106 and 65 | 6890 |
| 141 and 155 | 21855 |