Least Common Multiple of 6998 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 6998 and 7002 the smallest integer that is 24499998 that is divisible by both numbers.

Least Common Multiple (LCM) of 6998 and 7002 is 24499998.

LCM(6998,7002) = 24499998

LCM of 6998 and 7002

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

LCM of:
and

Least Common Multiple of 6998 and 7002

LCM of 6998 and 7002 is 24499998

Least common multiple can be found by multiplying the highest exponent prime factors of 6998 and 7002. First we will calculate the prime factors of 6998 and 7002.

Prime Factorization of 6998


2 6998
3499 3499
1

Prime factors of 6998 are 2,3499. Prime factorization of 6998 in exponential form is:

6998 = 21×34991

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 6998 and 7002.

LCM(6998,7002) = 21×32×3891×34991
LCM(6998,7002) = 24499998

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1, 2, 3499, 6998

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 6998 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 6998 and 7002, than apply into the LCM equation.

GCF(6998,7002) = 2
LCM(6998,7002) = ( 6998 × 7002) / 2
LCM(6998,7002) = 48999996 / 2
LCM(6998,7002) = 24499998

Properties of LCM 6998 and 7002

(i) The LCM of 7002 and 6998 is associative

LCM of 6998 and 7002 = LCM of 7002 and 6998

Related Least Common Multiples of 6998

Related Least Common Multiples of 7002

Frequently Asked Questions on LCM of 6998 and 7002

1. What is the LCM of 6998 and 7002?

Answer: LCM of 6998 and 7002 is 24499998.

2. What are the Factors of 6998?

Answer: Factors of 6998 are 1, 2, 3499, 6998. There are 4 integers that are factors of 6998. The greatest factor of 6998 is 6998.

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 6998 and 7002?

Answer:

Least Common Multiple of 6998 and 7002 = 24499998

Step 1: Find the prime factorization of 6998

6998 = 2 x 3499

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 = 24499998 = 2 x 3 x 3 x 389 x 3499

Step 4: Therefore, the least common multiple of 6998 and 7002 is 24499998.