Least Common Multiple (LCM) of 148 and 192
The least common multiple (LCM) of 148 and 192 is 7104.
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 192?
First, calculate the GCD of 148 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 192 = 0 remainder 148 |
| 2 | 192 ÷ 148 = 1 remainder 44 |
| 3 | 148 ÷ 44 = 3 remainder 16 |
| 4 | 44 ÷ 16 = 2 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 196 | 784 |
| 100 and 110 | 1100 |
| 18 and 82 | 738 |
| 95 and 35 | 665 |
| 24 and 92 | 552 |