Least Common Multiple (LCM) of 112 and 108
The least common multiple (LCM) of 112 and 108 is 3024.
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 108?
First, calculate the GCD of 112 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 108 = 1 remainder 4 |
| 2 | 108 ÷ 4 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 126 | 3150 |
| 48 and 101 | 4848 |
| 173 and 38 | 6574 |
| 57 and 168 | 3192 |
| 135 and 168 | 7560 |