Least Common Multiple (LCM) of 148 and 16
The least common multiple (LCM) of 148 and 16 is 592.
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 16?
First, calculate the GCD of 148 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 16 = 9 remainder 4 |
| 2 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 158 | 7426 |
| 48 and 144 | 144 |
| 159 and 25 | 3975 |
| 194 and 128 | 12416 |
| 125 and 178 | 22250 |