Least Common Multiple of 6997 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 6997 and 7002 the smallest integer that is 48992994 that is divisible by both numbers.

Least Common Multiple (LCM) of 6997 and 7002 is 48992994.

LCM(6997,7002) = 48992994

LCM of 6997 and 7002

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

LCM of:
and

Least Common Multiple of 6997 and 7002

LCM of 6997 and 7002 is 48992994

Least common multiple can be found by multiplying the highest exponent prime factors of 6997 and 7002. First we will calculate the prime factors of 6997 and 7002.

Prime Factorization of 6997


6997 6997
1

Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:

6997 = 69971

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 6997 and 7002.

LCM(6997,7002) = 21×32×3891×69971
LCM(6997,7002) = 48992994

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1, 6997

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 6997 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 6997 and 7002, than apply into the LCM equation.

GCF(6997,7002) = 1
LCM(6997,7002) = ( 6997 × 7002) / 1
LCM(6997,7002) = 48992994 / 1
LCM(6997,7002) = 48992994

Properties of LCM 6997 and 7002

(i) The LCM of 7002 and 6997 is associative

LCM of 6997 and 7002 = LCM of 7002 and 6997

Related Least Common Multiples of 6997

Related Least Common Multiples of 7002

Frequently Asked Questions on LCM of 6997 and 7002

1. What is the LCM of 6997 and 7002?

Answer: LCM of 6997 and 7002 is 48992994.

2. What are the Factors of 6997?

Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.

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 6997 and 7002?

Answer:

Least Common Multiple of 6997 and 7002 = 48992994

Step 1: Find the prime factorization of 6997

6997 = 6997

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 = 48992994 = 2 x 3 x 3 x 389 x 6997

Step 4: Therefore, the least common multiple of 6997 and 7002 is 48992994.