Least Common Multiple (LCM) of 48 and 134
The least common multiple (LCM) of 48 and 134 is 3216.
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 48 and 134?
First, calculate the GCD of 48 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 134 = 0 remainder 48 |
| 2 | 134 ÷ 48 = 2 remainder 38 |
| 3 | 48 ÷ 38 = 1 remainder 10 |
| 4 | 38 ÷ 10 = 3 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 172 | 16684 |
| 182 and 122 | 11102 |
| 135 and 129 | 5805 |
| 154 and 67 | 10318 |
| 146 and 48 | 3504 |