Least Common Multiple of 7896 and 7903

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 7903 the smallest integer that is 8914584 that is divisible by both numbers.

Least Common Multiple (LCM) of 7896 and 7903 is 8914584.

LCM(7896,7903) = 8914584

LCM of 7896 and 7903

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

LCM of:
and

Least Common Multiple of 7896 and 7903

LCM of 7896 and 7903 is 8914584

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7903. First we will calculate the prime factors of 7896 and 7903.

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 7903


7 7903
1129 1129
1

Prime factors of 7903 are 7,1129. Prime factorization of 7903 in exponential form is:

7903 = 71×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 7896 and 7903.

LCM(7896,7903) = 23×31×71×471×11291
LCM(7896,7903) = 8914584

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 7903

List of positive integer factors of 7903 that divides 7903 without a remainder.

1, 7, 1129, 7903

Least Common Multiple of 7896 and 7903 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 7903, than apply into the LCM equation.

GCF(7896,7903) = 7
LCM(7896,7903) = ( 7896 × 7903) / 7
LCM(7896,7903) = 62402088 / 7
LCM(7896,7903) = 8914584

Properties of LCM 7896 and 7903

(i) The LCM of 7903 and 7896 is associative

LCM of 7896 and 7903 = LCM of 7903 and 7896

Related Least Common Multiples of 7896

Related Least Common Multiples of 7903

Frequently Asked Questions on LCM of 7896 and 7903

1. What is the LCM of 7896 and 7903?

Answer: LCM of 7896 and 7903 is 8914584.

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 7903?

Answer: Factors of 7903 are 1, 7, 1129, 7903. There are 4 integers that are factors of 7903. The greatest factor of 7903 is 7903.

4. How to Find the LCM of 7896 and 7903?

Answer:

Least Common Multiple of 7896 and 7903 = 8914584

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 7903

7903 = 7 x 1129

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

LCM = 8914584 = 2 x 2 x 2 x 3 x 7 x 47 x 1129

Step 4: Therefore, the least common multiple of 7896 and 7903 is 8914584.