Least Common Multiple (LCM) of 144 and 14
The least common multiple (LCM) of 144 and 14 is 1008.
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 14?
First, calculate the GCD of 144 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 14 = 10 remainder 4 |
| 2 | 14 ÷ 4 = 3 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 175 | 1925 |
| 166 and 20 | 1660 |
| 186 and 16 | 1488 |
| 129 and 122 | 15738 |
| 57 and 12 | 228 |