Least Common Multiple of 7872 and 7878

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 7878 the smallest integer that is 10335936 that is divisible by both numbers.

Least Common Multiple (LCM) of 7872 and 7878 is 10335936.

LCM(7872,7878) = 10335936

LCM of 7872 and 7878

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

LCM of:
and

Least Common Multiple of 7872 and 7878

LCM of 7872 and 7878 is 10335936

Least common multiple can be found by multiplying the highest exponent prime factors of 7872 and 7878. First we will calculate the prime factors of 7872 and 7878.

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 7878


2 7878
3 3939
13 1313
101 101
1

Prime factors of 7878 are 2, 3, 13,101. Prime factorization of 7878 in exponential form is:

7878 = 21×31×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7872 and 7878.

LCM(7872,7878) = 26×31×131×411×1011
LCM(7872,7878) = 10335936

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 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878

Least Common Multiple of 7872 and 7878 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 7878, than apply into the LCM equation.

GCF(7872,7878) = 6
LCM(7872,7878) = ( 7872 × 7878) / 6
LCM(7872,7878) = 62015616 / 6
LCM(7872,7878) = 10335936

Properties of LCM 7872 and 7878

(i) The LCM of 7878 and 7872 is associative

LCM of 7872 and 7878 = LCM of 7878 and 7872

Related Least Common Multiples of 7872

Related Least Common Multiples of 7878

Frequently Asked Questions on LCM of 7872 and 7878

1. What is the LCM of 7872 and 7878?

Answer: LCM of 7872 and 7878 is 10335936.

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 7878?

Answer: Factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878. There are 16 integers that are factors of 7878. The greatest factor of 7878 is 7878.

4. How to Find the LCM of 7872 and 7878?

Answer:

Least Common Multiple of 7872 and 7878 = 10335936

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 7878

7878 = 2 x 3 x 13 x 101

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

LCM = 10335936 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 41 x 101

Step 4: Therefore, the least common multiple of 7872 and 7878 is 10335936.