Least Common Multiple (LCM) of 148 and 176
The least common multiple (LCM) of 148 and 176 is 6512.
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 148 and 176?
First, calculate the GCD of 148 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 176 = 0 remainder 148 |
| 2 | 176 ÷ 148 = 1 remainder 28 |
| 3 | 148 ÷ 28 = 5 remainder 8 |
| 4 | 28 ÷ 8 = 3 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 149 | 8046 |
| 82 and 28 | 1148 |
| 141 and 146 | 20586 |
| 173 and 157 | 27161 |
| 180 and 55 | 1980 |