Least Common Multiple (LCM) of 143 and 196
The least common multiple (LCM) of 143 and 196 is 28028.
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 196?
First, calculate the GCD of 143 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 196 = 0 remainder 143 |
| 2 | 196 ÷ 143 = 1 remainder 53 |
| 3 | 143 ÷ 53 = 2 remainder 37 |
| 4 | 53 ÷ 37 = 1 remainder 16 |
| 5 | 37 ÷ 16 = 2 remainder 5 |
| 6 | 16 ÷ 5 = 3 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 65 | 11440 |
| 44 and 64 | 704 |
| 180 and 59 | 10620 |
| 188 and 189 | 35532 |
| 73 and 36 | 2628 |