Least Common Multiple of 6986 and 6994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6986 and 6994 the smallest integer that is 24430042 that is divisible by both numbers.

Least Common Multiple (LCM) of 6986 and 6994 is 24430042.

LCM(6986,6994) = 24430042

LCM of 6986 and 6994

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

LCM of:
and

Least Common Multiple of 6986 and 6994

LCM of 6986 and 6994 is 24430042

Least common multiple can be found by multiplying the highest exponent prime factors of 6986 and 6994. First we will calculate the prime factors of 6986 and 6994.

Prime Factorization of 6986


2 6986
7 3493
499 499
1

Prime factors of 6986 are 2, 7,499. Prime factorization of 6986 in exponential form is:

6986 = 21×71×4991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6986 and 6994.

LCM(6986,6994) = 21×71×131×2691×4991
LCM(6986,6994) = 24430042

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1, 2, 7, 14, 499, 998, 3493, 6986

Factors of 6994

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

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

Least Common Multiple of 6986 and 6994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6986 and 6994, than apply into the LCM equation.

GCF(6986,6994) = 2
LCM(6986,6994) = ( 6986 × 6994) / 2
LCM(6986,6994) = 48860084 / 2
LCM(6986,6994) = 24430042

Properties of LCM 6986 and 6994

(i) The LCM of 6994 and 6986 is associative

LCM of 6986 and 6994 = LCM of 6994 and 6986

Related Least Common Multiples of 6986

Related Least Common Multiples of 6994

Frequently Asked Questions on LCM of 6986 and 6994

1. What is the LCM of 6986 and 6994?

Answer: LCM of 6986 and 6994 is 24430042.

2. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

3. 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.

4. How to Find the LCM of 6986 and 6994?

Answer:

Least Common Multiple of 6986 and 6994 = 24430042

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6994

6994 = 2 x 13 x 269

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

LCM = 24430042 = 2 x 7 x 13 x 269 x 499

Step 4: Therefore, the least common multiple of 6986 and 6994 is 24430042.