Least Common Multiple (LCM) of 48 and 176
The least common multiple (LCM) of 48 and 176 is 528.
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 48 and 176?
First, calculate the GCD of 48 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 176 = 0 remainder 48 |
| 2 | 176 ÷ 48 = 3 remainder 32 |
| 3 | 48 ÷ 32 = 1 remainder 16 |
| 4 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 107 | 5243 |
| 59 and 84 | 4956 |
| 105 and 44 | 4620 |
| 33 and 149 | 4917 |
| 128 and 200 | 3200 |