Least Common Multiple (LCM) of 20 and 183
The least common multiple (LCM) of 20 and 183 is 3660.
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 20 and 183?
First, calculate the GCD of 20 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 183 = 0 remainder 20 |
| 2 | 183 ÷ 20 = 9 remainder 3 |
| 3 | 20 ÷ 3 = 6 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 109 | 3815 |
| 127 and 117 | 14859 |
| 174 and 11 | 1914 |
| 102 and 47 | 4794 |
| 170 and 31 | 5270 |