Least Common Multiple (LCM) of 168 and 93
The least common multiple (LCM) of 168 and 93 is 5208.
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 93?
First, calculate the GCD of 168 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 93 = 1 remainder 75 |
| 2 | 93 ÷ 75 = 1 remainder 18 |
| 3 | 75 ÷ 18 = 4 remainder 3 |
| 4 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 199 | 37412 |
| 158 and 157 | 24806 |
| 38 and 105 | 3990 |
| 185 and 165 | 6105 |
| 13 and 25 | 325 |