Least Common Multiple (LCM) of 93 and 188
The least common multiple (LCM) of 93 and 188 is 17484.
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 188?
First, calculate the GCD of 93 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 188 = 0 remainder 93 |
| 2 | 188 ÷ 93 = 2 remainder 2 |
| 3 | 93 ÷ 2 = 46 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 124 | 6324 |
| 188 and 89 | 16732 |
| 165 and 41 | 6765 |
| 153 and 88 | 13464 |
| 101 and 117 | 11817 |