Least Common Multiple (LCM) of 192 and 25
The least common multiple (LCM) of 192 and 25 is 4800.
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 25?
First, calculate the GCD of 192 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 25 = 7 remainder 17 |
| 2 | 25 ÷ 17 = 1 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 152 | 20520 |
| 100 and 165 | 3300 |
| 156 and 101 | 15756 |
| 116 and 169 | 19604 |
| 103 and 60 | 6180 |