Least Common Multiple of 7044 and 7052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7044 and 7052 the smallest integer that is 12418572 that is divisible by both numbers.

Least Common Multiple (LCM) of 7044 and 7052 is 12418572.

LCM(7044,7052) = 12418572

LCM of 7044 and 7052

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

LCM of:
and

Least Common Multiple of 7044 and 7052

LCM of 7044 and 7052 is 12418572

Least common multiple can be found by multiplying the highest exponent prime factors of 7044 and 7052. First we will calculate the prime factors of 7044 and 7052.

Prime Factorization of 7044


2 7044
2 3522
3 1761
587 587
1

Prime factors of 7044 are 2, 3,587. Prime factorization of 7044 in exponential form is:

7044 = 22×31×5871

Prime Factorization of 7052


2 7052
2 3526
41 1763
43 43
1

Prime factors of 7052 are 2, 41,43. Prime factorization of 7052 in exponential form is:

7052 = 22×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7044 and 7052.

LCM(7044,7052) = 22×31×411×431×5871
LCM(7044,7052) = 12418572

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044

Factors of 7052

List of positive integer factors of 7052 that divides 7052 without a remainder.

1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052

Least Common Multiple of 7044 and 7052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7044 and 7052, than apply into the LCM equation.

GCF(7044,7052) = 4
LCM(7044,7052) = ( 7044 × 7052) / 4
LCM(7044,7052) = 49674288 / 4
LCM(7044,7052) = 12418572

Properties of LCM 7044 and 7052

(i) The LCM of 7052 and 7044 is associative

LCM of 7044 and 7052 = LCM of 7052 and 7044

Related Least Common Multiples of 7044

Related Least Common Multiples of 7052

Frequently Asked Questions on LCM of 7044 and 7052

1. What is the LCM of 7044 and 7052?

Answer: LCM of 7044 and 7052 is 12418572.

2. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

3. What are the Factors of 7052?

Answer: Factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052. There are 12 integers that are factors of 7052. The greatest factor of 7052 is 7052.

4. How to Find the LCM of 7044 and 7052?

Answer:

Least Common Multiple of 7044 and 7052 = 12418572

Step 1: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 2: Find the prime factorization of 7052

7052 = 2 x 2 x 41 x 43

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

LCM = 12418572 = 2 x 2 x 3 x 41 x 43 x 587

Step 4: Therefore, the least common multiple of 7044 and 7052 is 12418572.