Least Common Multiple (LCM) of 144 and 143
The least common multiple (LCM) of 144 and 143 is 20592.
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 143?
First, calculate the GCD of 144 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 143 = 1 remainder 1 |
| 2 | 143 ÷ 1 = 143 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 106 | 12190 |
| 162 and 152 | 12312 |
| 40 and 92 | 920 |
| 48 and 72 | 144 |
| 50 and 105 | 1050 |