Least Common Multiple (LCM) of 66 and 93
The least common multiple (LCM) of 66 and 93 is 2046.
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 66 and 93?
First, calculate the GCD of 66 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 93 = 0 remainder 66 |
| 2 | 93 ÷ 66 = 1 remainder 27 |
| 3 | 66 ÷ 27 = 2 remainder 12 |
| 4 | 27 ÷ 12 = 2 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 20 | 1740 |
| 83 and 150 | 12450 |
| 169 and 139 | 23491 |
| 115 and 161 | 805 |
| 194 and 191 | 37054 |