Least Common Multiple of 9894 and 9899

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 9894 and 9899 by Prime method
• Least Common Multiple of 9894 and 9899 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9894 and 9899. First we will calculate the prime factors of 9894 and 9899.

Prime Factorization of 9894

Prime factors of 9894 are 2, 3, 17,97. Prime factorization of 9894 in exponential form is:

9894 = 2¹×3¹×17¹×97¹

Prime Factorization of 9899

Prime factors of 9899 are 19,521. Prime factorization of 9899 in exponential form is:

9899 = 19¹×521¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9894 and 9899.

LCM(9894,9899) = 2¹×3¹×17¹×19¹×97¹×521¹
LCM(9894,9899) = 97940706

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894

Factors of 9899

List of positive integer factors of 9899 that divides 9899 without a remainder.

1, 19, 521, 9899

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9894 and 9899, than apply into the LCM equation.

GCF(9894,9899) = 1
LCM(9894,9899) = ( 9894 × 9899) / 1
LCM(9894,9899) = 97940706 / 1
LCM(9894,9899) = 97940706

(i) The LCM of 9899 and 9894 is associative

LCM of 9894 and 9899 = LCM of 9899 and 9894

1. What is the LCM of 9894 and 9899?

Answer: LCM of 9894 and 9899 is 97940706.

2. What are the Factors of 9894?

Answer: Factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894. There are 16 integers that are factors of 9894. The greatest factor of 9894 is 9894.

3. What are the Factors of 9899?

Answer: Factors of 9899 are 1, 19, 521, 9899. There are 4 integers that are factors of 9899. The greatest factor of 9899 is 9899.

4. How to Find the LCM of 9894 and 9899?

Answer:

Least Common Multiple of 9894 and 9899 = 97940706

Step 1: Find the prime factorization of 9894

9894 = 2 x 3 x 17 x 97

Step 2: Find the prime factorization of 9899

9899 = 19 x 521

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 97940706 = 2 x 3 x 17 x 19 x 97 x 521

Step 4: Therefore, the least common multiple of 9894 and 9899 is 97940706.