Least Common Multiple (LCM) of 168 and 32
The least common multiple (LCM) of 168 and 32 is 672.
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 168 and 32?
First, calculate the GCD of 168 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 32 = 5 remainder 8 |
| 2 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 153 | 5355 |
| 63 and 117 | 819 |
| 38 and 182 | 3458 |
| 51 and 177 | 3009 |
| 72 and 79 | 5688 |