Least Common Multiple (LCM) of 131 and 144
The least common multiple (LCM) of 131 and 144 is 18864.
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 131 and 144?
First, calculate the GCD of 131 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 144 = 0 remainder 131 |
| 2 | 144 ÷ 131 = 1 remainder 13 |
| 3 | 131 ÷ 13 = 10 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 80 | 9360 |
| 24 and 30 | 120 |
| 102 and 27 | 918 |
| 79 and 32 | 2528 |
| 53 and 73 | 3869 |