Least Common Multiple (LCM) of 121 and 94
The least common multiple (LCM) of 121 and 94 is 11374.
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 121 and 94?
First, calculate the GCD of 121 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 94 = 1 remainder 27 |
| 2 | 94 ÷ 27 = 3 remainder 13 |
| 3 | 27 ÷ 13 = 2 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 17 | 1700 |
| 92 and 20 | 460 |
| 82 and 12 | 492 |
| 193 and 176 | 33968 |
| 154 and 35 | 770 |