Least Common Multiple of 6994 and 6998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6994 and 6998 the smallest integer that is 24472006 that is divisible by both numbers.

Least Common Multiple (LCM) of 6994 and 6998 is 24472006.

LCM(6994,6998) = 24472006

LCM of 6994 and 6998

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

LCM of:
and

Least Common Multiple of 6994 and 6998

LCM of 6994 and 6998 is 24472006

Least common multiple can be found by multiplying the highest exponent prime factors of 6994 and 6998. First we will calculate the prime factors of 6994 and 6998.

Prime Factorization of 6994


2 6994
13 3497
269 269
1

Prime factors of 6994 are 2, 13,269. Prime factorization of 6994 in exponential form is:

6994 = 21×131×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6994 and 6998.

LCM(6994,6998) = 21×131×2691×34991
LCM(6994,6998) = 24472006

Factors of 6994

List of positive integer factors of 6994 that divides 6994 without a remainder.

1, 2, 13, 26, 269, 538, 3497, 6994

Factors of 6998

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

1, 2, 3499, 6998

Least Common Multiple of 6994 and 6998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6994 and 6998, than apply into the LCM equation.

GCF(6994,6998) = 2
LCM(6994,6998) = ( 6994 × 6998) / 2
LCM(6994,6998) = 48944012 / 2
LCM(6994,6998) = 24472006

Properties of LCM 6994 and 6998

(i) The LCM of 6998 and 6994 is associative

LCM of 6994 and 6998 = LCM of 6998 and 6994

Related Least Common Multiples of 6994

Related Least Common Multiples of 6998

Frequently Asked Questions on LCM of 6994 and 6998

1. What is the LCM of 6994 and 6998?

Answer: LCM of 6994 and 6998 is 24472006.

2. What are the Factors of 6994?

Answer: Factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994. There are 8 integers that are factors of 6994. The greatest factor of 6994 is 6994.

3. 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.

4. How to Find the LCM of 6994 and 6998?

Answer:

Least Common Multiple of 6994 and 6998 = 24472006

Step 1: Find the prime factorization of 6994

6994 = 2 x 13 x 269

Step 2: Find the prime factorization of 6998

6998 = 2 x 3499

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

LCM = 24472006 = 2 x 13 x 269 x 3499

Step 4: Therefore, the least common multiple of 6994 and 6998 is 24472006.