Least Common Multiple (LCM) of 144 and 186
The least common multiple (LCM) of 144 and 186 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 144 and 186?
First, calculate the GCD of 144 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 186 = 0 remainder 144 |
| 2 | 186 ÷ 144 = 1 remainder 42 |
| 3 | 144 ÷ 42 = 3 remainder 18 |
| 4 | 42 ÷ 18 = 2 remainder 6 |
| 5 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 109 | 19184 |
| 174 and 76 | 6612 |
| 14 and 23 | 322 |
| 12 and 149 | 1788 |
| 75 and 106 | 7950 |