Least Common Multiple (LCM) of 20 and 184
The least common multiple (LCM) of 20 and 184 is 920.
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 184?
First, calculate the GCD of 20 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 184 = 0 remainder 20 |
| 2 | 184 ÷ 20 = 9 remainder 4 |
| 3 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 84 | 6132 |
| 189 and 57 | 3591 |
| 171 and 65 | 11115 |
| 167 and 83 | 13861 |
| 195 and 93 | 6045 |