Least Common Multiple of 8044 and 8045

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 8045 the smallest integer that is 64713980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8044 and 8045 is 64713980.

LCM(8044,8045) = 64713980

LCM of 8044 and 8045

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

LCM of:
and

Least Common Multiple of 8044 and 8045

LCM of 8044 and 8045 is 64713980

Least common multiple can be found by multiplying the highest exponent prime factors of 8044 and 8045. First we will calculate the prime factors of 8044 and 8045.

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 8045


5 8045
1609 1609
1

Prime factors of 8045 are 5,1609. Prime factorization of 8045 in exponential form is:

8045 = 51×16091

Now multiplying the highest exponent prime factors to calculate the LCM of 8044 and 8045.

LCM(8044,8045) = 22×51×16091×20111
LCM(8044,8045) = 64713980

Factors of 8044

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

1, 2, 4, 2011, 4022, 8044

Factors of 8045

List of positive integer factors of 8045 that divides 8045 without a remainder.

1, 5, 1609, 8045

Least Common Multiple of 8044 and 8045 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 8045, than apply into the LCM equation.

GCF(8044,8045) = 1
LCM(8044,8045) = ( 8044 × 8045) / 1
LCM(8044,8045) = 64713980 / 1
LCM(8044,8045) = 64713980

Properties of LCM 8044 and 8045

(i) The LCM of 8045 and 8044 is associative

LCM of 8044 and 8045 = LCM of 8045 and 8044

Related Least Common Multiples of 8044

Related Least Common Multiples of 8045

Frequently Asked Questions on LCM of 8044 and 8045

1. What is the LCM of 8044 and 8045?

Answer: LCM of 8044 and 8045 is 64713980.

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 8045?

Answer: Factors of 8045 are 1, 5, 1609, 8045. There are 4 integers that are factors of 8045. The greatest factor of 8045 is 8045.

4. How to Find the LCM of 8044 and 8045?

Answer:

Least Common Multiple of 8044 and 8045 = 64713980

Step 1: Find the prime factorization of 8044

8044 = 2 x 2 x 2011

Step 2: Find the prime factorization of 8045

8045 = 5 x 1609

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

LCM = 64713980 = 2 x 2 x 5 x 1609 x 2011

Step 4: Therefore, the least common multiple of 8044 and 8045 is 64713980.