Least Common Multiple (LCM) of 94 and 163
The least common multiple (LCM) of 94 and 163 is 15322.
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 163?
First, calculate the GCD of 94 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 163 = 0 remainder 94 |
| 2 | 163 ÷ 94 = 1 remainder 69 |
| 3 | 94 ÷ 69 = 1 remainder 25 |
| 4 | 69 ÷ 25 = 2 remainder 19 |
| 5 | 25 ÷ 19 = 1 remainder 6 |
| 6 | 19 ÷ 6 = 3 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 106 | 2014 |
| 166 and 108 | 8964 |
| 93 and 15 | 465 |
| 100 and 12 | 300 |
| 38 and 95 | 190 |