Least Common Multiple (LCM) of 192 and 196
The least common multiple (LCM) of 192 and 196 is 9408.
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 196?
First, calculate the GCD of 192 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 196 = 0 remainder 192 |
| 2 | 196 ÷ 192 = 1 remainder 4 |
| 3 | 192 ÷ 4 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 72 | 1368 |
| 90 and 50 | 450 |
| 143 and 13 | 143 |
| 80 and 186 | 7440 |
| 171 and 103 | 17613 |