Least Common Multiple (LCM) of 94 and 133
The least common multiple (LCM) of 94 and 133 is 12502.
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 133?
First, calculate the GCD of 94 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 133 = 0 remainder 94 |
| 2 | 133 ÷ 94 = 1 remainder 39 |
| 3 | 94 ÷ 39 = 2 remainder 16 |
| 4 | 39 ÷ 16 = 2 remainder 7 |
| 5 | 16 ÷ 7 = 2 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 126 | 3654 |
| 186 and 104 | 9672 |
| 51 and 151 | 7701 |
| 171 and 199 | 34029 |
| 60 and 38 | 1140 |