Least Common Multiple (LCM) of 192 and 88
The least common multiple (LCM) of 192 and 88 is 2112.
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 88?
First, calculate the GCD of 192 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 88 = 2 remainder 16 |
| 2 | 88 ÷ 16 = 5 remainder 8 |
| 3 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 103 | 18128 |
| 65 and 168 | 10920 |
| 47 and 69 | 3243 |
| 171 and 158 | 27018 |
| 42 and 198 | 1386 |