Least Common Multiple (LCM) of 94 and 164
The least common multiple (LCM) of 94 and 164 is 7708.
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 164?
First, calculate the GCD of 94 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 164 = 0 remainder 94 |
| 2 | 164 ÷ 94 = 1 remainder 70 |
| 3 | 94 ÷ 70 = 1 remainder 24 |
| 4 | 70 ÷ 24 = 2 remainder 22 |
| 5 | 24 ÷ 22 = 1 remainder 2 |
| 6 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 128 | 896 |
| 170 and 19 | 3230 |
| 182 and 41 | 7462 |
| 167 and 71 | 11857 |
| 41 and 106 | 4346 |