Least Common Multiple (LCM) of 96 and 168
The least common multiple (LCM) of 96 and 168 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 96 and 168?
First, calculate the GCD of 96 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 168 = 0 remainder 96 |
| 2 | 168 ÷ 96 = 1 remainder 72 |
| 3 | 96 ÷ 72 = 1 remainder 24 |
| 4 | 72 ÷ 24 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 67 | 6097 |
| 78 and 110 | 4290 |
| 83 and 24 | 1992 |
| 190 and 157 | 29830 |
| 150 and 83 | 12450 |