Least Common Multiple (LCM) of 162 and 32
The least common multiple (LCM) of 162 and 32 is 2592.
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 32?
First, calculate the GCD of 162 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 32 = 5 remainder 2 |
| 2 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 119 | 2142 |
| 156 and 77 | 12012 |
| 65 and 127 | 8255 |
| 140 and 55 | 1540 |
| 91 and 31 | 2821 |