Least Common Multiple (LCM) of 128 and 162
The least common multiple (LCM) of 128 and 162 is 10368.
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 128 and 162?
First, calculate the GCD of 128 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 162 = 0 remainder 128 |
| 2 | 162 ÷ 128 = 1 remainder 34 |
| 3 | 128 ÷ 34 = 3 remainder 26 |
| 4 | 34 ÷ 26 = 1 remainder 8 |
| 5 | 26 ÷ 8 = 3 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 41 | 533 |
| 175 and 139 | 24325 |
| 181 and 192 | 34752 |
| 149 and 198 | 29502 |
| 28 and 103 | 2884 |