Least Common Multiple (LCM) of 147 and 176
The least common multiple (LCM) of 147 and 176 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 147 and 176?
First, calculate the GCD of 147 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 176 = 0 remainder 147 |
| 2 | 176 ÷ 147 = 1 remainder 29 |
| 3 | 147 ÷ 29 = 5 remainder 2 |
| 4 | 29 ÷ 2 = 14 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 91 | 546 |
| 44 and 17 | 748 |
| 71 and 42 | 2982 |
| 39 and 86 | 3354 |
| 72 and 177 | 4248 |