Least Common Multiple of 7001 and 7002

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 7002 the smallest integer that is 49021002 that is divisible by both numbers.

Least Common Multiple (LCM) of 7001 and 7002 is 49021002.

LCM(7001,7002) = 49021002

LCM of 7001 and 7002

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

LCM of:
and

Least Common Multiple of 7001 and 7002

LCM of 7001 and 7002 is 49021002

Least common multiple can be found by multiplying the highest exponent prime factors of 7001 and 7002. First we will calculate the prime factors of 7001 and 7002.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7001 and 7002.

LCM(7001,7002) = 21×32×3891×70011
LCM(7001,7002) = 49021002

Factors of 7001

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

1, 7001

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

Least Common Multiple of 7001 and 7002 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 7002, than apply into the LCM equation.

GCF(7001,7002) = 1
LCM(7001,7002) = ( 7001 × 7002) / 1
LCM(7001,7002) = 49021002 / 1
LCM(7001,7002) = 49021002

Properties of LCM 7001 and 7002

(i) The LCM of 7002 and 7001 is associative

LCM of 7001 and 7002 = LCM of 7002 and 7001

Related Least Common Multiples of 7001

Related Least Common Multiples of 7002

Frequently Asked Questions on LCM of 7001 and 7002

1. What is the LCM of 7001 and 7002?

Answer: LCM of 7001 and 7002 is 49021002.

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 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.

4. How to Find the LCM of 7001 and 7002?

Answer:

Least Common Multiple of 7001 and 7002 = 49021002

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7002

7002 = 2 x 3 x 3 x 389

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

LCM = 49021002 = 2 x 3 x 3 x 389 x 7001

Step 4: Therefore, the least common multiple of 7001 and 7002 is 49021002.