Least Common Multiple of 8044 and 8049

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 8049 the smallest integer that is 64746156 that is divisible by both numbers.

Least Common Multiple (LCM) of 8044 and 8049 is 64746156.

LCM(8044,8049) = 64746156

LCM of 8044 and 8049

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

LCM of:
and

Least Common Multiple of 8044 and 8049

LCM of 8044 and 8049 is 64746156

Least common multiple can be found by multiplying the highest exponent prime factors of 8044 and 8049. First we will calculate the prime factors of 8044 and 8049.

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 8049


3 8049
2683 2683
1

Prime factors of 8049 are 3,2683. Prime factorization of 8049 in exponential form is:

8049 = 31×26831

Now multiplying the highest exponent prime factors to calculate the LCM of 8044 and 8049.

LCM(8044,8049) = 22×31×20111×26831
LCM(8044,8049) = 64746156

Factors of 8044

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

1, 2, 4, 2011, 4022, 8044

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1, 3, 2683, 8049

Least Common Multiple of 8044 and 8049 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 8049, than apply into the LCM equation.

GCF(8044,8049) = 1
LCM(8044,8049) = ( 8044 × 8049) / 1
LCM(8044,8049) = 64746156 / 1
LCM(8044,8049) = 64746156

Properties of LCM 8044 and 8049

(i) The LCM of 8049 and 8044 is associative

LCM of 8044 and 8049 = LCM of 8049 and 8044

Related Least Common Multiples of 8044

Related Least Common Multiples of 8049

Frequently Asked Questions on LCM of 8044 and 8049

1. What is the LCM of 8044 and 8049?

Answer: LCM of 8044 and 8049 is 64746156.

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 8049?

Answer: Factors of 8049 are 1, 3, 2683, 8049. There are 4 integers that are factors of 8049. The greatest factor of 8049 is 8049.

4. How to Find the LCM of 8044 and 8049?

Answer:

Least Common Multiple of 8044 and 8049 = 64746156

Step 1: Find the prime factorization of 8044

8044 = 2 x 2 x 2011

Step 2: Find the prime factorization of 8049

8049 = 3 x 2683

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

LCM = 64746156 = 2 x 2 x 3 x 2011 x 2683

Step 4: Therefore, the least common multiple of 8044 and 8049 is 64746156.