Least Common Multiple (LCM) of 177 and 143
The least common multiple (LCM) of 177 and 143 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 177 and 143?
First, calculate the GCD of 177 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 143 = 1 remainder 34 |
| 2 | 143 ÷ 34 = 4 remainder 7 |
| 3 | 34 ÷ 7 = 4 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 48 | 528 |
| 102 and 182 | 9282 |
| 199 and 49 | 9751 |
| 123 and 88 | 10824 |
| 140 and 21 | 420 |