Least Common Multiple of 7004 and 7012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7004 and 7012 the smallest integer that is 12278012 that is divisible by both numbers.

Least Common Multiple (LCM) of 7004 and 7012 is 12278012.

LCM(7004,7012) = 12278012

LCM of 7004 and 7012

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

LCM of:
and

Least Common Multiple of 7004 and 7012

LCM of 7004 and 7012 is 12278012

Least common multiple can be found by multiplying the highest exponent prime factors of 7004 and 7012. First we will calculate the prime factors of 7004 and 7012.

Prime Factorization of 7004


2 7004
2 3502
17 1751
103 103
1

Prime factors of 7004 are 2, 17,103. Prime factorization of 7004 in exponential form is:

7004 = 22×171×1031

Prime Factorization of 7012


2 7012
2 3506
1753 1753
1

Prime factors of 7012 are 2,1753. Prime factorization of 7012 in exponential form is:

7012 = 22×17531

Now multiplying the highest exponent prime factors to calculate the LCM of 7004 and 7012.

LCM(7004,7012) = 22×171×1031×17531
LCM(7004,7012) = 12278012

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004

Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1, 2, 4, 1753, 3506, 7012

Least Common Multiple of 7004 and 7012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7004 and 7012, than apply into the LCM equation.

GCF(7004,7012) = 4
LCM(7004,7012) = ( 7004 × 7012) / 4
LCM(7004,7012) = 49112048 / 4
LCM(7004,7012) = 12278012

Properties of LCM 7004 and 7012

(i) The LCM of 7012 and 7004 is associative

LCM of 7004 and 7012 = LCM of 7012 and 7004

Related Least Common Multiples of 7004

Related Least Common Multiples of 7012

Frequently Asked Questions on LCM of 7004 and 7012

1. What is the LCM of 7004 and 7012?

Answer: LCM of 7004 and 7012 is 12278012.

2. What are the Factors of 7004?

Answer: Factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004. There are 12 integers that are factors of 7004. The greatest factor of 7004 is 7004.

3. What are the Factors of 7012?

Answer: Factors of 7012 are 1, 2, 4, 1753, 3506, 7012. There are 6 integers that are factors of 7012. The greatest factor of 7012 is 7012.

4. How to Find the LCM of 7004 and 7012?

Answer:

Least Common Multiple of 7004 and 7012 = 12278012

Step 1: Find the prime factorization of 7004

7004 = 2 x 2 x 17 x 103

Step 2: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

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

LCM = 12278012 = 2 x 2 x 17 x 103 x 1753

Step 4: Therefore, the least common multiple of 7004 and 7012 is 12278012.