Least Common Multiple (LCM) of 183 and 97
The least common multiple (LCM) of 183 and 97 is 17751.
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 183 and 97?
First, calculate the GCD of 183 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 97 = 1 remainder 86 |
| 2 | 97 ÷ 86 = 1 remainder 11 |
| 3 | 86 ÷ 11 = 7 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 147 | 8085 |
| 102 and 131 | 13362 |
| 197 and 164 | 32308 |
| 22 and 72 | 792 |
| 154 and 186 | 14322 |