Least Common Multiple (LCM) of 176 and 145
The least common multiple (LCM) of 176 and 145 is 25520.
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 176 and 145?
First, calculate the GCD of 176 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 145 = 1 remainder 31 |
| 2 | 145 ÷ 31 = 4 remainder 21 |
| 3 | 31 ÷ 21 = 1 remainder 10 |
| 4 | 21 ÷ 10 = 2 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 56 | 10808 |
| 184 and 45 | 8280 |
| 116 and 60 | 1740 |
| 65 and 110 | 1430 |
| 49 and 189 | 1323 |