Least Common Multiple of 7004 and 7010

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 7010 the smallest integer that is 24549020 that is divisible by both numbers.

Least Common Multiple (LCM) of 7004 and 7010 is 24549020.

LCM(7004,7010) = 24549020

LCM of 7004 and 7010

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

LCM of:
and

Least Common Multiple of 7004 and 7010

LCM of 7004 and 7010 is 24549020

Least common multiple can be found by multiplying the highest exponent prime factors of 7004 and 7010. First we will calculate the prime factors of 7004 and 7010.

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 7010


2 7010
5 3505
701 701
1

Prime factors of 7010 are 2, 5,701. Prime factorization of 7010 in exponential form is:

7010 = 21×51×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 7004 and 7010.

LCM(7004,7010) = 22×51×171×1031×7011
LCM(7004,7010) = 24549020

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 7010

List of positive integer factors of 7010 that divides 7010 without a remainder.

1, 2, 5, 10, 701, 1402, 3505, 7010

Least Common Multiple of 7004 and 7010 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 7010, than apply into the LCM equation.

GCF(7004,7010) = 2
LCM(7004,7010) = ( 7004 × 7010) / 2
LCM(7004,7010) = 49098040 / 2
LCM(7004,7010) = 24549020

Properties of LCM 7004 and 7010

(i) The LCM of 7010 and 7004 is associative

LCM of 7004 and 7010 = LCM of 7010 and 7004

Related Least Common Multiples of 7004

Related Least Common Multiples of 7010

Frequently Asked Questions on LCM of 7004 and 7010

1. What is the LCM of 7004 and 7010?

Answer: LCM of 7004 and 7010 is 24549020.

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 7010?

Answer: Factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010. There are 8 integers that are factors of 7010. The greatest factor of 7010 is 7010.

4. How to Find the LCM of 7004 and 7010?

Answer:

Least Common Multiple of 7004 and 7010 = 24549020

Step 1: Find the prime factorization of 7004

7004 = 2 x 2 x 17 x 103

Step 2: Find the prime factorization of 7010

7010 = 2 x 5 x 701

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

LCM = 24549020 = 2 x 2 x 5 x 17 x 103 x 701

Step 4: Therefore, the least common multiple of 7004 and 7010 is 24549020.