Least Common Multiple of 6996 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 6996 and 7002 the smallest integer that is 8164332 that is divisible by both numbers.

Least Common Multiple (LCM) of 6996 and 7002 is 8164332.

LCM(6996,7002) = 8164332

LCM of 6996 and 7002

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

LCM of:
and

Least Common Multiple of 6996 and 7002

LCM of 6996 and 7002 is 8164332

Least common multiple can be found by multiplying the highest exponent prime factors of 6996 and 7002. First we will calculate the prime factors of 6996 and 7002.

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 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 6996 and 7002.

LCM(6996,7002) = 22×32×111×531×3891
LCM(6996,7002) = 8164332

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 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 6996 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 6996 and 7002, than apply into the LCM equation.

GCF(6996,7002) = 6
LCM(6996,7002) = ( 6996 × 7002) / 6
LCM(6996,7002) = 48985992 / 6
LCM(6996,7002) = 8164332

Properties of LCM 6996 and 7002

(i) The LCM of 7002 and 6996 is associative

LCM of 6996 and 7002 = LCM of 7002 and 6996

Related Least Common Multiples of 6996

Related Least Common Multiples of 7002

Frequently Asked Questions on LCM of 6996 and 7002

1. What is the LCM of 6996 and 7002?

Answer: LCM of 6996 and 7002 is 8164332.

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 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 6996 and 7002?

Answer:

Least Common Multiple of 6996 and 7002 = 8164332

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 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 = 8164332 = 2 x 2 x 3 x 3 x 11 x 53 x 389

Step 4: Therefore, the least common multiple of 6996 and 7002 is 8164332.