Least Common Multiple (LCM) of 112 and 104
The least common multiple (LCM) of 112 and 104 is 1456.
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 112 and 104?
First, calculate the GCD of 112 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 104 = 1 remainder 8 |
| 2 | 104 ÷ 8 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 131 | 25938 |
| 167 and 11 | 1837 |
| 13 and 31 | 403 |
| 90 and 132 | 1980 |
| 98 and 155 | 15190 |