Least Common Multiple (LCM) of 196 and 183
The least common multiple (LCM) of 196 and 183 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 196 and 183?
First, calculate the GCD of 196 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 183 = 1 remainder 13 |
| 2 | 183 ÷ 13 = 14 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 54 | 54 |
| 165 and 129 | 7095 |
| 143 and 145 | 20735 |
| 114 and 22 | 1254 |
| 21 and 88 | 1848 |