Least Common Multiple (LCM) of 94 and 33
The least common multiple (LCM) of 94 and 33 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 94 and 33?
First, calculate the GCD of 94 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 33 = 2 remainder 28 |
| 2 | 33 ÷ 28 = 1 remainder 5 |
| 3 | 28 ÷ 5 = 5 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 124 | 19468 |
| 181 and 114 | 20634 |
| 75 and 107 | 8025 |
| 193 and 179 | 34547 |
| 22 and 48 | 528 |