Least Common Multiple (LCM) of 104 and 49
The least common multiple (LCM) of 104 and 49 is 5096.
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 49?
First, calculate the GCD of 104 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 49 = 2 remainder 6 |
| 2 | 49 ÷ 6 = 8 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 92 | 15916 |
| 110 and 127 | 13970 |
| 151 and 184 | 27784 |
| 129 and 73 | 9417 |
| 178 and 63 | 11214 |