Least Common Multiple (LCM) of 143 and 177
The least common multiple (LCM) of 143 and 177 is 25311.
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 177?
First, calculate the GCD of 143 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 177 = 0 remainder 143 |
| 2 | 177 ÷ 143 = 1 remainder 34 |
| 3 | 143 ÷ 34 = 4 remainder 7 |
| 4 | 34 ÷ 7 = 4 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 26 | 1586 |
| 87 and 64 | 5568 |
| 163 and 20 | 3260 |
| 122 and 13 | 1586 |
| 12 and 144 | 144 |