Least Common Multiple (LCM) of 94 and 99
The least common multiple (LCM) of 94 and 99 is 9306.
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 99?
First, calculate the GCD of 94 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 99 = 0 remainder 94 |
| 2 | 99 ÷ 94 = 1 remainder 5 |
| 3 | 94 ÷ 5 = 18 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 125 | 22625 |
| 94 and 106 | 4982 |
| 86 and 183 | 15738 |
| 68 and 23 | 1564 |
| 140 and 49 | 980 |