Least Common Multiple of 7872 and 7876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7872 and 7876 the smallest integer that is 15499968 that is divisible by both numbers.

Least Common Multiple (LCM) of 7872 and 7876 is 15499968.

LCM(7872,7876) = 15499968

LCM of 7872 and 7876

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

LCM of:
and

Least Common Multiple of 7872 and 7876

LCM of 7872 and 7876 is 15499968

Least common multiple can be found by multiplying the highest exponent prime factors of 7872 and 7876. First we will calculate the prime factors of 7872 and 7876.

Prime Factorization of 7872


2 7872
2 3936
2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 7872 are 2, 3,41. Prime factorization of 7872 in exponential form is:

7872 = 26×31×411

Prime Factorization of 7876


2 7876
2 3938
11 1969
179 179
1

Prime factors of 7876 are 2, 11,179. Prime factorization of 7876 in exponential form is:

7876 = 22×111×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7872 and 7876.

LCM(7872,7876) = 26×31×111×411×1791
LCM(7872,7876) = 15499968

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872

Factors of 7876

List of positive integer factors of 7876 that divides 7876 without a remainder.

1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876

Least Common Multiple of 7872 and 7876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7872 and 7876, than apply into the LCM equation.

GCF(7872,7876) = 4
LCM(7872,7876) = ( 7872 × 7876) / 4
LCM(7872,7876) = 61999872 / 4
LCM(7872,7876) = 15499968

Properties of LCM 7872 and 7876

(i) The LCM of 7876 and 7872 is associative

LCM of 7872 and 7876 = LCM of 7876 and 7872

Related Least Common Multiples of 7872

Related Least Common Multiples of 7876

Frequently Asked Questions on LCM of 7872 and 7876

1. What is the LCM of 7872 and 7876?

Answer: LCM of 7872 and 7876 is 15499968.

2. What are the Factors of 7872?

Answer: Factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872. There are 28 integers that are factors of 7872. The greatest factor of 7872 is 7872.

3. What are the Factors of 7876?

Answer: Factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876. There are 12 integers that are factors of 7876. The greatest factor of 7876 is 7876.

4. How to Find the LCM of 7872 and 7876?

Answer:

Least Common Multiple of 7872 and 7876 = 15499968

Step 1: Find the prime factorization of 7872

7872 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 7876

7876 = 2 x 2 x 11 x 179

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

LCM = 15499968 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 41 x 179

Step 4: Therefore, the least common multiple of 7872 and 7876 is 15499968.