Least Common Multiple (LCM) of 134 and 96
The least common multiple (LCM) of 134 and 96 is 6432.
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 96?
First, calculate the GCD of 134 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 96 = 1 remainder 38 |
| 2 | 96 ÷ 38 = 2 remainder 20 |
| 3 | 38 ÷ 20 = 1 remainder 18 |
| 4 | 20 ÷ 18 = 1 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 84 | 3612 |
| 56 and 128 | 896 |
| 168 and 49 | 1176 |
| 153 and 67 | 10251 |
| 141 and 27 | 1269 |