Least Common Multiple (LCM) of 196 and 97
The least common multiple (LCM) of 196 and 97 is 19012.
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 196 and 97?
First, calculate the GCD of 196 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 97 = 2 remainder 2 |
| 2 | 97 ÷ 2 = 48 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 43 | 4902 |
| 187 and 181 | 33847 |
| 52 and 119 | 6188 |
| 158 and 192 | 15168 |
| 124 and 177 | 21948 |