Least Common Multiple of 6995 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 6995 and 7002 the smallest integer that is 48978990 that is divisible by both numbers.

Least Common Multiple (LCM) of 6995 and 7002 is 48978990.

LCM(6995,7002) = 48978990

LCM of 6995 and 7002

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

LCM of:
and

Least Common Multiple of 6995 and 7002

LCM of 6995 and 7002 is 48978990

Least common multiple can be found by multiplying the highest exponent prime factors of 6995 and 7002. First we will calculate the prime factors of 6995 and 7002.

Prime Factorization of 6995


5 6995
1399 1399
1

Prime factors of 6995 are 5,1399. Prime factorization of 6995 in exponential form is:

6995 = 51×13991

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 6995 and 7002.

LCM(6995,7002) = 21×32×51×3891×13991
LCM(6995,7002) = 48978990

Factors of 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1, 5, 1399, 6995

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 6995 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 6995 and 7002, than apply into the LCM equation.

GCF(6995,7002) = 1
LCM(6995,7002) = ( 6995 × 7002) / 1
LCM(6995,7002) = 48978990 / 1
LCM(6995,7002) = 48978990

Properties of LCM 6995 and 7002

(i) The LCM of 7002 and 6995 is associative

LCM of 6995 and 7002 = LCM of 7002 and 6995

Related Least Common Multiples of 6995

Related Least Common Multiples of 7002

Frequently Asked Questions on LCM of 6995 and 7002

1. What is the LCM of 6995 and 7002?

Answer: LCM of 6995 and 7002 is 48978990.

2. What are the Factors of 6995?

Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.

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 6995 and 7002?

Answer:

Least Common Multiple of 6995 and 7002 = 48978990

Step 1: Find the prime factorization of 6995

6995 = 5 x 1399

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 = 48978990 = 2 x 3 x 3 x 5 x 389 x 1399

Step 4: Therefore, the least common multiple of 6995 and 7002 is 48978990.