Least Common Multiple of 7872 and 7879

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 7879 the smallest integer that is 62023488 that is divisible by both numbers.

Least Common Multiple (LCM) of 7872 and 7879 is 62023488.

LCM(7872,7879) = 62023488

LCM of 7872 and 7879

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

LCM of:
and

Least Common Multiple of 7872 and 7879

LCM of 7872 and 7879 is 62023488

Least common multiple can be found by multiplying the highest exponent prime factors of 7872 and 7879. First we will calculate the prime factors of 7872 and 7879.

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 7879


7879 7879
1

Prime factors of 7879 are 7879. Prime factorization of 7879 in exponential form is:

7879 = 78791

Now multiplying the highest exponent prime factors to calculate the LCM of 7872 and 7879.

LCM(7872,7879) = 26×31×411×78791
LCM(7872,7879) = 62023488

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 7879

List of positive integer factors of 7879 that divides 7879 without a remainder.

1, 7879

Least Common Multiple of 7872 and 7879 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 7879, than apply into the LCM equation.

GCF(7872,7879) = 1
LCM(7872,7879) = ( 7872 × 7879) / 1
LCM(7872,7879) = 62023488 / 1
LCM(7872,7879) = 62023488

Properties of LCM 7872 and 7879

(i) The LCM of 7879 and 7872 is associative

LCM of 7872 and 7879 = LCM of 7879 and 7872

Related Least Common Multiples of 7872

Related Least Common Multiples of 7879

Frequently Asked Questions on LCM of 7872 and 7879

1. What is the LCM of 7872 and 7879?

Answer: LCM of 7872 and 7879 is 62023488.

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 7879?

Answer: Factors of 7879 are 1, 7879. There are 2 integers that are factors of 7879. The greatest factor of 7879 is 7879.

4. How to Find the LCM of 7872 and 7879?

Answer:

Least Common Multiple of 7872 and 7879 = 62023488

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 7879

7879 = 7879

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

LCM = 62023488 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41 x 7879

Step 4: Therefore, the least common multiple of 7872 and 7879 is 62023488.