Least Common Multiple (LCM) of 144 and 141
The least common multiple (LCM) of 144 and 141 is 6768.
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 141?
First, calculate the GCD of 144 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 141 = 1 remainder 3 |
| 2 | 141 ÷ 3 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 109 | 18966 |
| 161 and 78 | 12558 |
| 170 and 118 | 10030 |
| 162 and 193 | 31266 |
| 57 and 77 | 4389 |