Least Common Multiple (LCM) of 144 and 134
The least common multiple (LCM) of 144 and 134 is 9648.
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 134?
First, calculate the GCD of 144 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 134 = 1 remainder 10 |
| 2 | 134 ÷ 10 = 13 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 23 | 2369 |
| 88 and 114 | 5016 |
| 175 and 96 | 16800 |
| 85 and 16 | 1360 |
| 197 and 32 | 6304 |