Least Common Multiple of 7900 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 7900 and 7904 the smallest integer that is 15610400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7900 and 7904 is 15610400.

LCM(7900,7904) = 15610400

LCM of 7900 and 7904

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

LCM of:
and

Least Common Multiple of 7900 and 7904

LCM of 7900 and 7904 is 15610400

Least common multiple can be found by multiplying the highest exponent prime factors of 7900 and 7904. First we will calculate the prime factors of 7900 and 7904.

Prime Factorization of 7900


2 7900
2 3950
5 1975
5 395
79 79
1

Prime factors of 7900 are 2, 5,79. Prime factorization of 7900 in exponential form is:

7900 = 22×52×791

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 7900 and 7904.

LCM(7900,7904) = 25×52×131×191×791
LCM(7900,7904) = 15610400

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900

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 7900 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 7900 and 7904, than apply into the LCM equation.

GCF(7900,7904) = 4
LCM(7900,7904) = ( 7900 × 7904) / 4
LCM(7900,7904) = 62441600 / 4
LCM(7900,7904) = 15610400

Properties of LCM 7900 and 7904

(i) The LCM of 7904 and 7900 is associative

LCM of 7900 and 7904 = LCM of 7904 and 7900

Related Least Common Multiples of 7900

Related Least Common Multiples of 7904

Frequently Asked Questions on LCM of 7900 and 7904

1. What is the LCM of 7900 and 7904?

Answer: LCM of 7900 and 7904 is 15610400.

2. What are the Factors of 7900?

Answer: Factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900. There are 18 integers that are factors of 7900. The greatest factor of 7900 is 7900.

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 7900 and 7904?

Answer:

Least Common Multiple of 7900 and 7904 = 15610400

Step 1: Find the prime factorization of 7900

7900 = 2 x 2 x 5 x 5 x 79

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 = 15610400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 x 19 x 79

Step 4: Therefore, the least common multiple of 7900 and 7904 is 15610400.