Least Common Multiple (LCM) of 94 and 121
The least common multiple (LCM) of 94 and 121 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 94 and 121?
First, calculate the GCD of 94 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 121 = 0 remainder 94 |
| 2 | 121 ÷ 94 = 1 remainder 27 |
| 3 | 94 ÷ 27 = 3 remainder 13 |
| 4 | 27 ÷ 13 = 2 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 67 | 6767 |
| 76 and 70 | 2660 |
| 172 and 139 | 23908 |
| 57 and 65 | 3705 |
| 35 and 106 | 3710 |