Least Common Multiple of 7899 and 7904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7899 and 7904 the smallest integer that is 62433696 that is divisible by both numbers.

Least Common Multiple (LCM) of 7899 and 7904 is 62433696.

LCM(7899,7904) = 62433696

LCM of 7899 and 7904

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

LCM of:
and

Least Common Multiple of 7899 and 7904

LCM of 7899 and 7904 is 62433696

Least common multiple can be found by multiplying the highest exponent prime factors of 7899 and 7904. First we will calculate the prime factors of 7899 and 7904.

Prime Factorization of 7899


3 7899
2633 2633
1

Prime factors of 7899 are 3,2633. Prime factorization of 7899 in exponential form is:

7899 = 31×26331

Prime Factorization of 7904


2 7904
2 3952
2 1976
2 988
2 494
13 247
19 19
1

Prime factors of 7904 are 2, 13,19. Prime factorization of 7904 in exponential form is:

7904 = 25×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7899 and 7904.

LCM(7899,7904) = 25×31×131×191×26331
LCM(7899,7904) = 62433696

Factors of 7899

List of positive integer factors of 7899 that divides 7899 without a remainder.

1, 3, 2633, 7899

Factors of 7904

List of positive integer factors of 7904 that divides 7904 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904

Least Common Multiple of 7899 and 7904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7899 and 7904, than apply into the LCM equation.

GCF(7899,7904) = 1
LCM(7899,7904) = ( 7899 × 7904) / 1
LCM(7899,7904) = 62433696 / 1
LCM(7899,7904) = 62433696

Properties of LCM 7899 and 7904

(i) The LCM of 7904 and 7899 is associative

LCM of 7899 and 7904 = LCM of 7904 and 7899

Related Least Common Multiples of 7899

Related Least Common Multiples of 7904

Frequently Asked Questions on LCM of 7899 and 7904

1. What is the LCM of 7899 and 7904?

Answer: LCM of 7899 and 7904 is 62433696.

2. What are the Factors of 7899?

Answer: Factors of 7899 are 1, 3, 2633, 7899. There are 4 integers that are factors of 7899. The greatest factor of 7899 is 7899.

3. What are the Factors of 7904?

Answer: Factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904. There are 24 integers that are factors of 7904. The greatest factor of 7904 is 7904.

4. How to Find the LCM of 7899 and 7904?

Answer:

Least Common Multiple of 7899 and 7904 = 62433696

Step 1: Find the prime factorization of 7899

7899 = 3 x 2633

Step 2: Find the prime factorization of 7904

7904 = 2 x 2 x 2 x 2 x 2 x 13 x 19

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

LCM = 62433696 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 19 x 2633

Step 4: Therefore, the least common multiple of 7899 and 7904 is 62433696.