Least Common Multiple (LCM) of 143 and 176
The least common multiple (LCM) of 143 and 176 is 2288.
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 176?
First, calculate the GCD of 143 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 176 = 0 remainder 143 |
| 2 | 176 ÷ 143 = 1 remainder 33 |
| 3 | 143 ÷ 33 = 4 remainder 11 |
| 4 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 161 | 7245 |
| 114 and 143 | 16302 |
| 60 and 141 | 2820 |
| 179 and 72 | 12888 |
| 100 and 28 | 700 |