Least Common Multiple (LCM) of 176 and 47
The least common multiple (LCM) of 176 and 47 is 8272.
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 47?
First, calculate the GCD of 176 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 47 = 3 remainder 35 |
| 2 | 47 ÷ 35 = 1 remainder 12 |
| 3 | 35 ÷ 12 = 2 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 64 | 1344 |
| 21 and 127 | 2667 |
| 117 and 133 | 15561 |
| 151 and 128 | 19328 |
| 112 and 142 | 7952 |