Least Common Multiple (LCM) of 192 and 176
The least common multiple (LCM) of 192 and 176 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 176?
First, calculate the GCD of 192 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 176 = 1 remainder 16 |
| 2 | 176 ÷ 16 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 134 | 4824 |
| 12 and 153 | 612 |
| 147 and 24 | 1176 |
| 110 and 116 | 6380 |
| 147 and 152 | 22344 |