Least Common Multiple (LCM) of 11 and 94
The least common multiple (LCM) of 11 and 94 is 1034.
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 11 and 94?
First, calculate the GCD of 11 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 94 = 0 remainder 11 |
| 2 | 94 ÷ 11 = 8 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 101 | 13837 |
| 10 and 77 | 770 |
| 124 and 134 | 8308 |
| 191 and 55 | 10505 |
| 38 and 142 | 2698 |