Least Common Multiple (LCM) of 93 and 57
The least common multiple (LCM) of 93 and 57 is 1767.
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 57?
First, calculate the GCD of 93 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 57 = 1 remainder 36 |
| 2 | 57 ÷ 36 = 1 remainder 21 |
| 3 | 36 ÷ 21 = 1 remainder 15 |
| 4 | 21 ÷ 15 = 1 remainder 6 |
| 5 | 15 ÷ 6 = 2 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 168 | 11928 |
| 20 and 141 | 2820 |
| 150 and 72 | 1800 |
| 137 and 53 | 7261 |
| 153 and 180 | 3060 |