Least Common Multiple of 7896 and 7902

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 7902 the smallest integer that is 10399032 that is divisible by both numbers.

Least Common Multiple (LCM) of 7896 and 7902 is 10399032.

LCM(7896,7902) = 10399032

LCM of 7896 and 7902

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

LCM of:
and

Least Common Multiple of 7896 and 7902

LCM of 7896 and 7902 is 10399032

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7902. First we will calculate the prime factors of 7896 and 7902.

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 7902


2 7902
3 3951
3 1317
439 439
1

Prime factors of 7902 are 2, 3,439. Prime factorization of 7902 in exponential form is:

7902 = 21×32×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 7896 and 7902.

LCM(7896,7902) = 23×32×71×471×4391
LCM(7896,7902) = 10399032

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 7902

List of positive integer factors of 7902 that divides 7902 without a remainder.

1, 2, 3, 6, 9, 18, 439, 878, 1317, 2634, 3951, 7902

Least Common Multiple of 7896 and 7902 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 7902, than apply into the LCM equation.

GCF(7896,7902) = 6
LCM(7896,7902) = ( 7896 × 7902) / 6
LCM(7896,7902) = 62394192 / 6
LCM(7896,7902) = 10399032

Properties of LCM 7896 and 7902

(i) The LCM of 7902 and 7896 is associative

LCM of 7896 and 7902 = LCM of 7902 and 7896

Related Least Common Multiples of 7896

Related Least Common Multiples of 7902

Frequently Asked Questions on LCM of 7896 and 7902

1. What is the LCM of 7896 and 7902?

Answer: LCM of 7896 and 7902 is 10399032.

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 7902?

Answer: Factors of 7902 are 1, 2, 3, 6, 9, 18, 439, 878, 1317, 2634, 3951, 7902. There are 12 integers that are factors of 7902. The greatest factor of 7902 is 7902.

4. How to Find the LCM of 7896 and 7902?

Answer:

Least Common Multiple of 7896 and 7902 = 10399032

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 7902

7902 = 2 x 3 x 3 x 439

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

LCM = 10399032 = 2 x 2 x 2 x 3 x 3 x 7 x 47 x 439

Step 4: Therefore, the least common multiple of 7896 and 7902 is 10399032.