Least Common Multiple (LCM) of 162 and 112
The least common multiple (LCM) of 162 and 112 is 9072.
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 162 and 112?
First, calculate the GCD of 162 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 112 = 1 remainder 50 |
| 2 | 112 ÷ 50 = 2 remainder 12 |
| 3 | 50 ÷ 12 = 4 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 114 | 11742 |
| 140 and 103 | 14420 |
| 113 and 172 | 19436 |
| 125 and 121 | 15125 |
| 179 and 192 | 34368 |