Least Common Multiple (LCM) of 97 and 183
The least common multiple (LCM) of 97 and 183 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 97 and 183?
First, calculate the GCD of 97 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 183 = 0 remainder 97 |
| 2 | 183 ÷ 97 = 1 remainder 86 |
| 3 | 97 ÷ 86 = 1 remainder 11 |
| 4 | 86 ÷ 11 = 7 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 147 | 3675 |
| 84 and 109 | 9156 |
| 134 and 21 | 2814 |
| 91 and 184 | 16744 |
| 156 and 115 | 17940 |