Least Common Multiple (LCM) of 112 and 32
The least common multiple (LCM) of 112 and 32 is 224.
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 32?
First, calculate the GCD of 112 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 32 = 3 remainder 16 |
| 2 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 154 | 2002 |
| 196 and 80 | 3920 |
| 140 and 169 | 23660 |
| 129 and 66 | 2838 |
| 111 and 176 | 19536 |