Least Common Multiple (LCM) of 186 and 144
The least common multiple (LCM) of 186 and 144 is 4464.
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 186 and 144?
First, calculate the GCD of 186 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 144 = 1 remainder 42 |
| 2 | 144 ÷ 42 = 3 remainder 18 |
| 3 | 42 ÷ 18 = 2 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 36 | 1800 |
| 89 and 110 | 9790 |
| 28 and 200 | 1400 |
| 182 and 119 | 3094 |
| 25 and 72 | 1800 |