Least Common Multiple of 8044 and 8052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8044 and 8052 the smallest integer that is 16192572 that is divisible by both numbers.

Least Common Multiple (LCM) of 8044 and 8052 is 16192572.

LCM(8044,8052) = 16192572

LCM of 8044 and 8052

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

LCM of:
and

Least Common Multiple of 8044 and 8052

LCM of 8044 and 8052 is 16192572

Least common multiple can be found by multiplying the highest exponent prime factors of 8044 and 8052. First we will calculate the prime factors of 8044 and 8052.

Prime Factorization of 8044


2 8044
2 4022
2011 2011
1

Prime factors of 8044 are 2,2011. Prime factorization of 8044 in exponential form is:

8044 = 22×20111

Prime Factorization of 8052


2 8052
2 4026
3 2013
11 671
61 61
1

Prime factors of 8052 are 2, 3, 11,61. Prime factorization of 8052 in exponential form is:

8052 = 22×31×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8044 and 8052.

LCM(8044,8052) = 22×31×111×611×20111
LCM(8044,8052) = 16192572

Factors of 8044

List of positive integer factors of 8044 that divides 8044 without a remainder.

1, 2, 4, 2011, 4022, 8044

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052

Least Common Multiple of 8044 and 8052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8044 and 8052, than apply into the LCM equation.

GCF(8044,8052) = 4
LCM(8044,8052) = ( 8044 × 8052) / 4
LCM(8044,8052) = 64770288 / 4
LCM(8044,8052) = 16192572

Properties of LCM 8044 and 8052

(i) The LCM of 8052 and 8044 is associative

LCM of 8044 and 8052 = LCM of 8052 and 8044

Related Least Common Multiples of 8044

Related Least Common Multiples of 8052

Frequently Asked Questions on LCM of 8044 and 8052

1. What is the LCM of 8044 and 8052?

Answer: LCM of 8044 and 8052 is 16192572.

2. What are the Factors of 8044?

Answer: Factors of 8044 are 1, 2, 4, 2011, 4022, 8044. There are 6 integers that are factors of 8044. The greatest factor of 8044 is 8044.

3. What are the Factors of 8052?

Answer: Factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052. There are 24 integers that are factors of 8052. The greatest factor of 8052 is 8052.

4. How to Find the LCM of 8044 and 8052?

Answer:

Least Common Multiple of 8044 and 8052 = 16192572

Step 1: Find the prime factorization of 8044

8044 = 2 x 2 x 2011

Step 2: Find the prime factorization of 8052

8052 = 2 x 2 x 3 x 11 x 61

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

LCM = 16192572 = 2 x 2 x 3 x 11 x 61 x 2011

Step 4: Therefore, the least common multiple of 8044 and 8052 is 16192572.