Least Common Multiple of 9899 and 9904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9899 and 9904 the smallest integer that is 98039696 that is divisible by both numbers.

Least Common Multiple (LCM) of 9899 and 9904 is 98039696.

LCM(9899,9904) = 98039696

LCM of 9899 and 9904

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

LCM of:
and

Least Common Multiple of 9899 and 9904

LCM of 9899 and 9904 is 98039696

Least common multiple can be found by multiplying the highest exponent prime factors of 9899 and 9904. First we will calculate the prime factors of 9899 and 9904.

Prime Factorization of 9899


19 9899
521 521
1

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

9899 = 191×5211

Prime Factorization of 9904


2 9904
2 4952
2 2476
2 1238
619 619
1

Prime factors of 9904 are 2,619. Prime factorization of 9904 in exponential form is:

9904 = 24×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 9899 and 9904.

LCM(9899,9904) = 24×191×5211×6191
LCM(9899,9904) = 98039696

Factors of 9899

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

1, 19, 521, 9899

Factors of 9904

List of positive integer factors of 9904 that divides 9904 without a remainder.

1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904

Least Common Multiple of 9899 and 9904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9899 and 9904, than apply into the LCM equation.

GCF(9899,9904) = 1
LCM(9899,9904) = ( 9899 × 9904) / 1
LCM(9899,9904) = 98039696 / 1
LCM(9899,9904) = 98039696

Properties of LCM 9899 and 9904

(i) The LCM of 9904 and 9899 is associative

LCM of 9899 and 9904 = LCM of 9904 and 9899

Related Least Common Multiples of 9899

Related Least Common Multiples of 9904

Frequently Asked Questions on LCM of 9899 and 9904

1. What is the LCM of 9899 and 9904?

Answer: LCM of 9899 and 9904 is 98039696.

2. 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.

3. What are the Factors of 9904?

Answer: Factors of 9904 are 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904. There are 10 integers that are factors of 9904. The greatest factor of 9904 is 9904.

4. How to Find the LCM of 9899 and 9904?

Answer:

Least Common Multiple of 9899 and 9904 = 98039696

Step 1: Find the prime factorization of 9899

9899 = 19 x 521

Step 2: Find the prime factorization of 9904

9904 = 2 x 2 x 2 x 2 x 619

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

LCM = 98039696 = 2 x 2 x 2 x 2 x 19 x 521 x 619

Step 4: Therefore, the least common multiple of 9899 and 9904 is 98039696.