Least Common Multiple of 8044 and 8046

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 8046 the smallest integer that is 32361012 that is divisible by both numbers.

Least Common Multiple (LCM) of 8044 and 8046 is 32361012.

LCM(8044,8046) = 32361012

LCM of 8044 and 8046

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

LCM of:
and

Least Common Multiple of 8044 and 8046

LCM of 8044 and 8046 is 32361012

Least common multiple can be found by multiplying the highest exponent prime factors of 8044 and 8046. First we will calculate the prime factors of 8044 and 8046.

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 8046


2 8046
3 4023
3 1341
3 447
149 149
1

Prime factors of 8046 are 2, 3,149. Prime factorization of 8046 in exponential form is:

8046 = 21×33×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8044 and 8046.

LCM(8044,8046) = 22×33×1491×20111
LCM(8044,8046) = 32361012

Factors of 8044

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

1, 2, 4, 2011, 4022, 8044

Factors of 8046

List of positive integer factors of 8046 that divides 8046 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046

Least Common Multiple of 8044 and 8046 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 8046, than apply into the LCM equation.

GCF(8044,8046) = 2
LCM(8044,8046) = ( 8044 × 8046) / 2
LCM(8044,8046) = 64722024 / 2
LCM(8044,8046) = 32361012

Properties of LCM 8044 and 8046

(i) The LCM of 8046 and 8044 is associative

LCM of 8044 and 8046 = LCM of 8046 and 8044

Related Least Common Multiples of 8044

Related Least Common Multiples of 8046

Frequently Asked Questions on LCM of 8044 and 8046

1. What is the LCM of 8044 and 8046?

Answer: LCM of 8044 and 8046 is 32361012.

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 8046?

Answer: Factors of 8046 are 1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046. There are 16 integers that are factors of 8046. The greatest factor of 8046 is 8046.

4. How to Find the LCM of 8044 and 8046?

Answer:

Least Common Multiple of 8044 and 8046 = 32361012

Step 1: Find the prime factorization of 8044

8044 = 2 x 2 x 2011

Step 2: Find the prime factorization of 8046

8046 = 2 x 3 x 3 x 3 x 149

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

LCM = 32361012 = 2 x 2 x 3 x 3 x 3 x 149 x 2011

Step 4: Therefore, the least common multiple of 8044 and 8046 is 32361012.