Least Common Multiple (LCM) of 183 and 196
The least common multiple (LCM) of 183 and 196 is 35868.
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 196?
First, calculate the GCD of 183 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 196 = 0 remainder 183 |
| 2 | 196 ÷ 183 = 1 remainder 13 |
| 3 | 183 ÷ 13 = 14 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 133 | 23142 |
| 93 and 14 | 1302 |
| 188 and 25 | 4700 |
| 199 and 75 | 14925 |
| 125 and 114 | 14250 |