Least Common Multiple (LCM) of 134 and 48
The least common multiple (LCM) of 134 and 48 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 134 and 48?
First, calculate the GCD of 134 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 48 = 2 remainder 38 |
| 2 | 48 ÷ 38 = 1 remainder 10 |
| 3 | 38 ÷ 10 = 3 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 46 | 184 |
| 35 and 146 | 5110 |
| 174 and 200 | 17400 |
| 30 and 112 | 1680 |
| 51 and 35 | 1785 |