Least Common Multiple (LCM) of 183 and 197
The least common multiple (LCM) of 183 and 197 is 36051.
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 197?
First, calculate the GCD of 183 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 197 = 0 remainder 183 |
| 2 | 197 ÷ 183 = 1 remainder 14 |
| 3 | 183 ÷ 14 = 13 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 49 | 5635 |
| 186 and 164 | 15252 |
| 94 and 150 | 7050 |
| 88 and 106 | 4664 |
| 15 and 174 | 870 |