Least Common Multiple (LCM) of 20 and 186
The least common multiple (LCM) of 20 and 186 is 1860.
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 186?
First, calculate the GCD of 20 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 186 = 0 remainder 20 |
| 2 | 186 ÷ 20 = 9 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 112 | 16016 |
| 72 and 89 | 6408 |
| 75 and 200 | 600 |
| 133 and 178 | 23674 |
| 141 and 74 | 10434 |