Least Common Multiple (LCM) of 75 and 93
The least common multiple (LCM) of 75 and 93 is 2325.
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 75 and 93?
First, calculate the GCD of 75 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 93 = 0 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 |
|---|---|
| 143 and 45 | 6435 |
| 110 and 51 | 5610 |
| 166 and 35 | 5810 |
| 65 and 155 | 2015 |
| 169 and 80 | 13520 |