Least Common Multiple (LCM) of 134 and 144
The least common multiple (LCM) of 134 and 144 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 134 and 144?
First, calculate the GCD of 134 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 144 = 0 remainder 134 |
| 2 | 144 ÷ 134 = 1 remainder 10 |
| 3 | 134 ÷ 10 = 13 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 196 | 22148 |
| 112 and 199 | 22288 |
| 149 and 102 | 15198 |
| 80 and 128 | 640 |
| 47 and 20 | 940 |