Least Common Multiple of 6996 and 7001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6996 and 7001 the smallest integer that is 48978996 that is divisible by both numbers.

Least Common Multiple (LCM) of 6996 and 7001 is 48978996.

LCM(6996,7001) = 48978996

LCM of 6996 and 7001

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

LCM of:
and

Least Common Multiple of 6996 and 7001

LCM of 6996 and 7001 is 48978996

Least common multiple can be found by multiplying the highest exponent prime factors of 6996 and 7001. First we will calculate the prime factors of 6996 and 7001.

Prime Factorization of 6996


2 6996
2 3498
3 1749
11 583
53 53
1

Prime factors of 6996 are 2, 3, 11,53. Prime factorization of 6996 in exponential form is:

6996 = 22×31×111×531

Prime Factorization of 7001


7001 7001
1

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

7001 = 70011

Now multiplying the highest exponent prime factors to calculate the LCM of 6996 and 7001.

LCM(6996,7001) = 22×31×111×531×70011
LCM(6996,7001) = 48978996

Factors of 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996

Factors of 7001

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

1, 7001

Least Common Multiple of 6996 and 7001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6996 and 7001, than apply into the LCM equation.

GCF(6996,7001) = 1
LCM(6996,7001) = ( 6996 × 7001) / 1
LCM(6996,7001) = 48978996 / 1
LCM(6996,7001) = 48978996

Properties of LCM 6996 and 7001

(i) The LCM of 7001 and 6996 is associative

LCM of 6996 and 7001 = LCM of 7001 and 6996

Related Least Common Multiples of 6996

Related Least Common Multiples of 7001

Frequently Asked Questions on LCM of 6996 and 7001

1. What is the LCM of 6996 and 7001?

Answer: LCM of 6996 and 7001 is 48978996.

2. What are the Factors of 6996?

Answer: Factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996. There are 24 integers that are factors of 6996. The greatest factor of 6996 is 6996.

3. 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.

4. How to Find the LCM of 6996 and 7001?

Answer:

Least Common Multiple of 6996 and 7001 = 48978996

Step 1: Find the prime factorization of 6996

6996 = 2 x 2 x 3 x 11 x 53

Step 2: Find the prime factorization of 7001

7001 = 7001

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

LCM = 48978996 = 2 x 2 x 3 x 11 x 53 x 7001

Step 4: Therefore, the least common multiple of 6996 and 7001 is 48978996.