Least Common Multiple (LCM) of 192 and 148
The least common multiple (LCM) of 192 and 148 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 192 and 148?
First, calculate the GCD of 192 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 148 = 1 remainder 44 |
| 2 | 148 ÷ 44 = 3 remainder 16 |
| 3 | 44 ÷ 16 = 2 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 125 | 3000 |
| 45 and 174 | 2610 |
| 67 and 125 | 8375 |
| 63 and 134 | 8442 |
| 182 and 81 | 14742 |