Least Common Multiple (LCM) of 176 and 147
The least common multiple (LCM) of 176 and 147 is 25872.
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 147?
First, calculate the GCD of 176 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 147 = 1 remainder 29 |
| 2 | 147 ÷ 29 = 5 remainder 2 |
| 3 | 29 ÷ 2 = 14 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 115 | 19435 |
| 89 and 83 | 7387 |
| 57 and 114 | 114 |
| 75 and 148 | 11100 |
| 14 and 31 | 434 |