Least Common Multiple (LCM) of 35 and 183
The least common multiple (LCM) of 35 and 183 is 6405.
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 35 and 183?
First, calculate the GCD of 35 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 183 = 0 remainder 35 |
| 2 | 183 ÷ 35 = 5 remainder 8 |
| 3 | 35 ÷ 8 = 4 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 40 | 5640 |
| 185 and 13 | 2405 |
| 193 and 67 | 12931 |
| 24 and 68 | 408 |
| 159 and 151 | 24009 |