Least Common Multiple of 7001 and 7003

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 7003 the smallest integer that is 49028003 that is divisible by both numbers.

Least Common Multiple (LCM) of 7001 and 7003 is 49028003.

LCM(7001,7003) = 49028003

LCM of 7001 and 7003

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

LCM of:
and

Least Common Multiple of 7001 and 7003

LCM of 7001 and 7003 is 49028003

Least common multiple can be found by multiplying the highest exponent prime factors of 7001 and 7003. First we will calculate the prime factors of 7001 and 7003.

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 7003


47 7003
149 149
1

Prime factors of 7003 are 47,149. Prime factorization of 7003 in exponential form is:

7003 = 471×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7001 and 7003.

LCM(7001,7003) = 471×1491×70011
LCM(7001,7003) = 49028003

Factors of 7001

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

1, 7001

Factors of 7003

List of positive integer factors of 7003 that divides 7003 without a remainder.

1, 47, 149, 7003

Least Common Multiple of 7001 and 7003 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 7003, than apply into the LCM equation.

GCF(7001,7003) = 1
LCM(7001,7003) = ( 7001 × 7003) / 1
LCM(7001,7003) = 49028003 / 1
LCM(7001,7003) = 49028003

Properties of LCM 7001 and 7003

(i) The LCM of 7003 and 7001 is associative

LCM of 7001 and 7003 = LCM of 7003 and 7001

Related Least Common Multiples of 7001

Related Least Common Multiples of 7003

Frequently Asked Questions on LCM of 7001 and 7003

1. What is the LCM of 7001 and 7003?

Answer: LCM of 7001 and 7003 is 49028003.

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 7003?

Answer: Factors of 7003 are 1, 47, 149, 7003. There are 4 integers that are factors of 7003. The greatest factor of 7003 is 7003.

4. How to Find the LCM of 7001 and 7003?

Answer:

Least Common Multiple of 7001 and 7003 = 49028003

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7003

7003 = 47 x 149

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

LCM = 49028003 = 47 x 149 x 7001

Step 4: Therefore, the least common multiple of 7001 and 7003 is 49028003.