Least Common Multiple of 6999 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 6999 and 7002 the smallest integer that is 16335666 that is divisible by both numbers.

Least Common Multiple (LCM) of 6999 and 7002 is 16335666.

LCM(6999,7002) = 16335666

LCM of 6999 and 7002

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

LCM of:
and

Least Common Multiple of 6999 and 7002

LCM of 6999 and 7002 is 16335666

Least common multiple can be found by multiplying the highest exponent prime factors of 6999 and 7002. First we will calculate the prime factors of 6999 and 7002.

Prime Factorization of 6999


3 6999
2333 2333
1

Prime factors of 6999 are 3,2333. Prime factorization of 6999 in exponential form is:

6999 = 31×23331

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 6999 and 7002.

LCM(6999,7002) = 21×32×3891×23331
LCM(6999,7002) = 16335666

Factors of 6999

List of positive integer factors of 6999 that divides 6999 without a remainder.

1, 3, 2333, 6999

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 6999 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 6999 and 7002, than apply into the LCM equation.

GCF(6999,7002) = 3
LCM(6999,7002) = ( 6999 × 7002) / 3
LCM(6999,7002) = 49006998 / 3
LCM(6999,7002) = 16335666

Properties of LCM 6999 and 7002

(i) The LCM of 7002 and 6999 is associative

LCM of 6999 and 7002 = LCM of 7002 and 6999

Related Least Common Multiples of 6999

Related Least Common Multiples of 7002

Frequently Asked Questions on LCM of 6999 and 7002

1. What is the LCM of 6999 and 7002?

Answer: LCM of 6999 and 7002 is 16335666.

2. What are the Factors of 6999?

Answer: Factors of 6999 are 1, 3, 2333, 6999. There are 4 integers that are factors of 6999. The greatest factor of 6999 is 6999.

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 6999 and 7002?

Answer:

Least Common Multiple of 6999 and 7002 = 16335666

Step 1: Find the prime factorization of 6999

6999 = 3 x 2333

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 = 16335666 = 2 x 3 x 3 x 389 x 2333

Step 4: Therefore, the least common multiple of 6999 and 7002 is 16335666.