Least Common Multiple (LCM) of 145 and 176
The least common multiple (LCM) of 145 and 176 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 145 and 176?
First, calculate the GCD of 145 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 176 = 0 remainder 145 |
| 2 | 176 ÷ 145 = 1 remainder 31 |
| 3 | 145 ÷ 31 = 4 remainder 21 |
| 4 | 31 ÷ 21 = 1 remainder 10 |
| 5 | 21 ÷ 10 = 2 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 156 | 4212 |
| 100 and 139 | 13900 |
| 75 and 122 | 9150 |
| 77 and 115 | 8855 |
| 169 and 194 | 32786 |