Least Common Multiple (LCM) of 97 and 192
The least common multiple (LCM) of 97 and 192 is 18624.
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 97 and 192?
First, calculate the GCD of 97 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 192 = 0 remainder 97 |
| 2 | 192 ÷ 97 = 1 remainder 95 |
| 3 | 97 ÷ 95 = 1 remainder 2 |
| 4 | 95 ÷ 2 = 47 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 30 | 1740 |
| 72 and 184 | 1656 |
| 142 and 197 | 27974 |
| 185 and 12 | 2220 |
| 189 and 164 | 30996 |