Least Common Multiple (LCM) of 112 and 116
The least common multiple (LCM) of 112 and 116 is 3248.
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 116?
First, calculate the GCD of 112 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 116 = 0 remainder 112 |
| 2 | 116 ÷ 112 = 1 remainder 4 |
| 3 | 112 ÷ 4 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 12 | 1308 |
| 86 and 63 | 5418 |
| 88 and 156 | 3432 |
| 45 and 149 | 6705 |
| 166 and 66 | 5478 |