Least Common Multiple of 7896 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 7896 and 7904 the smallest integer that is 7801248 that is divisible by both numbers.

Least Common Multiple (LCM) of 7896 and 7904 is 7801248.

LCM(7896,7904) = 7801248

LCM of 7896 and 7904

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

LCM of:
and

Least Common Multiple of 7896 and 7904

LCM of 7896 and 7904 is 7801248

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7904. First we will calculate the prime factors of 7896 and 7904.

Prime Factorization of 7896


2 7896
2 3948
2 1974
3 987
7 329
47 47
1

Prime factors of 7896 are 2, 3, 7,47. Prime factorization of 7896 in exponential form is:

7896 = 23×31×71×471

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 7896 and 7904.

LCM(7896,7904) = 25×31×71×131×191×471
LCM(7896,7904) = 7801248

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896

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 7896 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 7896 and 7904, than apply into the LCM equation.

GCF(7896,7904) = 8
LCM(7896,7904) = ( 7896 × 7904) / 8
LCM(7896,7904) = 62409984 / 8
LCM(7896,7904) = 7801248

Properties of LCM 7896 and 7904

(i) The LCM of 7904 and 7896 is associative

LCM of 7896 and 7904 = LCM of 7904 and 7896

Related Least Common Multiples of 7896

Related Least Common Multiples of 7904

Frequently Asked Questions on LCM of 7896 and 7904

1. What is the LCM of 7896 and 7904?

Answer: LCM of 7896 and 7904 is 7801248.

2. What are the Factors of 7896?

Answer: Factors of 7896 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896. There are 32 integers that are factors of 7896. The greatest factor of 7896 is 7896.

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 7896 and 7904?

Answer:

Least Common Multiple of 7896 and 7904 = 7801248

Step 1: Find the prime factorization of 7896

7896 = 2 x 2 x 2 x 3 x 7 x 47

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 = 7801248 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 19 x 47

Step 4: Therefore, the least common multiple of 7896 and 7904 is 7801248.