Least Common Multiple (LCM) of 46 and 104
The least common multiple (LCM) of 46 and 104 is 2392.
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 46 and 104?
First, calculate the GCD of 46 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 104 = 0 remainder 46 |
| 2 | 104 ÷ 46 = 2 remainder 12 |
| 3 | 46 ÷ 12 = 3 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 57 | 11343 |
| 105 and 148 | 15540 |
| 174 and 95 | 16530 |
| 196 and 60 | 2940 |
| 135 and 84 | 3780 |