Least Common Multiple (LCM) of 104 and 148
The least common multiple (LCM) of 104 and 148 is 3848.
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 148?
First, calculate the GCD of 104 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 148 = 0 remainder 104 |
| 2 | 148 ÷ 104 = 1 remainder 44 |
| 3 | 104 ÷ 44 = 2 remainder 16 |
| 4 | 44 ÷ 16 = 2 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 17 | 2584 |
| 44 and 71 | 3124 |
| 29 and 97 | 2813 |
| 74 and 49 | 3626 |
| 103 and 77 | 7931 |