Least Common Multiple (LCM) of 33 and 94
The least common multiple (LCM) of 33 and 94 is 3102.
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 33 and 94?
First, calculate the GCD of 33 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 94 = 0 remainder 33 |
| 2 | 94 ÷ 33 = 2 remainder 28 |
| 3 | 33 ÷ 28 = 1 remainder 5 |
| 4 | 28 ÷ 5 = 5 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 109 | 1635 |
| 128 and 125 | 16000 |
| 35 and 149 | 5215 |
| 60 and 145 | 1740 |
| 175 and 199 | 34825 |