Least Common Multiple (LCM) of 104 and 48
The least common multiple (LCM) of 104 and 48 is 624.
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 104 and 48?
First, calculate the GCD of 104 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 48 = 2 remainder 8 |
| 2 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 33 | 2145 |
| 134 and 129 | 17286 |
| 77 and 187 | 1309 |
| 40 and 141 | 5640 |
| 170 and 192 | 16320 |