Least Common Multiple of 7002 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 7002 and 7010 the smallest integer that is 24542010 that is divisible by both numbers.

Least Common Multiple (LCM) of 7002 and 7010 is 24542010.

LCM(7002,7010) = 24542010

LCM of 7002 and 7010

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

LCM of:
and

Least Common Multiple of 7002 and 7010

LCM of 7002 and 7010 is 24542010

Least common multiple can be found by multiplying the highest exponent prime factors of 7002 and 7010. First we will calculate the prime factors of 7002 and 7010.

Prime Factorization of 7002


2 7002
3 3501
3 1167
389 389
1

Prime factors of 7002 are 2, 3,389. Prime factorization of 7002 in exponential form is:

7002 = 21×32×3891

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 7002 and 7010.

LCM(7002,7010) = 21×32×51×3891×7011
LCM(7002,7010) = 24542010

Factors of 7002

List of positive integer factors of 7002 that divides 7002 without a remainder.

1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002

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 7002 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 7002 and 7010, than apply into the LCM equation.

GCF(7002,7010) = 2
LCM(7002,7010) = ( 7002 × 7010) / 2
LCM(7002,7010) = 49084020 / 2
LCM(7002,7010) = 24542010

Properties of LCM 7002 and 7010

(i) The LCM of 7010 and 7002 is associative

LCM of 7002 and 7010 = LCM of 7010 and 7002

Related Least Common Multiples of 7002

Related Least Common Multiples of 7010

Frequently Asked Questions on LCM of 7002 and 7010

1. What is the LCM of 7002 and 7010?

Answer: LCM of 7002 and 7010 is 24542010.

2. What are the Factors of 7002?

Answer: Factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002. There are 12 integers that are factors of 7002. The greatest factor of 7002 is 7002.

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 7002 and 7010?

Answer:

Least Common Multiple of 7002 and 7010 = 24542010

Step 1: Find the prime factorization of 7002

7002 = 2 x 3 x 3 x 389

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 = 24542010 = 2 x 3 x 3 x 5 x 389 x 701

Step 4: Therefore, the least common multiple of 7002 and 7010 is 24542010.