Least Common Multiple (LCM) of 112 and 22
The least common multiple (LCM) of 112 and 22 is 1232.
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 22?
First, calculate the GCD of 112 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 22 = 5 remainder 2 |
| 2 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 37 | 6882 |
| 150 and 19 | 2850 |
| 183 and 141 | 8601 |
| 104 and 171 | 17784 |
| 61 and 86 | 5246 |