Least Common Multiple (LCM) of 192 and 97
The least common multiple (LCM) of 192 and 97 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 192 and 97?
First, calculate the GCD of 192 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 97 = 1 remainder 95 |
| 2 | 97 ÷ 95 = 1 remainder 2 |
| 3 | 95 ÷ 2 = 47 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 185 | 25345 |
| 180 and 63 | 1260 |
| 110 and 124 | 6820 |
| 135 and 53 | 7155 |
| 133 and 136 | 18088 |