Least Common Multiple (LCM) of 93 and 168
The least common multiple (LCM) of 93 and 168 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 93 and 168?
First, calculate the GCD of 93 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 168 = 0 remainder 93 |
| 2 | 168 ÷ 93 = 1 remainder 75 |
| 3 | 93 ÷ 75 = 1 remainder 18 |
| 4 | 75 ÷ 18 = 4 remainder 3 |
| 5 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 50 | 5150 |
| 61 and 191 | 11651 |
| 169 and 194 | 32786 |
| 123 and 53 | 6519 |
| 188 and 197 | 37036 |