Least Common Multiple (LCM) of 188 and 112
The least common multiple (LCM) of 188 and 112 is 5264.
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 188 and 112?
First, calculate the GCD of 188 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 112 = 1 remainder 76 |
| 2 | 112 ÷ 76 = 1 remainder 36 |
| 3 | 76 ÷ 36 = 2 remainder 4 |
| 4 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 127 | 1397 |
| 117 and 13 | 117 |
| 112 and 11 | 1232 |
| 39 and 19 | 741 |
| 75 and 139 | 10425 |