Least Common Multiple of 7001 and 7005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7001 and 7005 the smallest integer that is 49042005 that is divisible by both numbers.

Least Common Multiple (LCM) of 7001 and 7005 is 49042005.

LCM(7001,7005) = 49042005

LCM of 7001 and 7005

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

LCM of:
and

Least Common Multiple of 7001 and 7005

LCM of 7001 and 7005 is 49042005

Least common multiple can be found by multiplying the highest exponent prime factors of 7001 and 7005. First we will calculate the prime factors of 7001 and 7005.

Prime Factorization of 7001


7001 7001
1

Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:

7001 = 70011

Prime Factorization of 7005


3 7005
5 2335
467 467
1

Prime factors of 7005 are 3, 5,467. Prime factorization of 7005 in exponential form is:

7005 = 31×51×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 7001 and 7005.

LCM(7001,7005) = 31×51×4671×70011
LCM(7001,7005) = 49042005

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1, 7001

Factors of 7005

List of positive integer factors of 7005 that divides 7005 without a remainder.

1, 3, 5, 15, 467, 1401, 2335, 7005

Least Common Multiple of 7001 and 7005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7001 and 7005, than apply into the LCM equation.

GCF(7001,7005) = 1
LCM(7001,7005) = ( 7001 × 7005) / 1
LCM(7001,7005) = 49042005 / 1
LCM(7001,7005) = 49042005

Properties of LCM 7001 and 7005

(i) The LCM of 7005 and 7001 is associative

LCM of 7001 and 7005 = LCM of 7005 and 7001

Related Least Common Multiples of 7001

Related Least Common Multiples of 7005

Frequently Asked Questions on LCM of 7001 and 7005

1. What is the LCM of 7001 and 7005?

Answer: LCM of 7001 and 7005 is 49042005.

2. What are the Factors of 7001?

Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.

3. What are the Factors of 7005?

Answer: Factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005. There are 8 integers that are factors of 7005. The greatest factor of 7005 is 7005.

4. How to Find the LCM of 7001 and 7005?

Answer:

Least Common Multiple of 7001 and 7005 = 49042005

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7005

7005 = 3 x 5 x 467

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

LCM = 49042005 = 3 x 5 x 467 x 7001

Step 4: Therefore, the least common multiple of 7001 and 7005 is 49042005.