Least Common Multiple of 6986 and 6991

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 6991 the smallest integer that is 48839126 that is divisible by both numbers.

Least Common Multiple (LCM) of 6986 and 6991 is 48839126.

LCM(6986,6991) = 48839126

LCM of 6986 and 6991

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

LCM of:
and

Least Common Multiple of 6986 and 6991

LCM of 6986 and 6991 is 48839126

Least common multiple can be found by multiplying the highest exponent prime factors of 6986 and 6991. First we will calculate the prime factors of 6986 and 6991.

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 6991


6991 6991
1

Prime factors of 6991 are 6991. Prime factorization of 6991 in exponential form is:

6991 = 69911

Now multiplying the highest exponent prime factors to calculate the LCM of 6986 and 6991.

LCM(6986,6991) = 21×71×4991×69911
LCM(6986,6991) = 48839126

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 6991

List of positive integer factors of 6991 that divides 6991 without a remainder.

1, 6991

Least Common Multiple of 6986 and 6991 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 6991, than apply into the LCM equation.

GCF(6986,6991) = 1
LCM(6986,6991) = ( 6986 × 6991) / 1
LCM(6986,6991) = 48839126 / 1
LCM(6986,6991) = 48839126

Properties of LCM 6986 and 6991

(i) The LCM of 6991 and 6986 is associative

LCM of 6986 and 6991 = LCM of 6991 and 6986

Related Least Common Multiples of 6986

Related Least Common Multiples of 6991

Frequently Asked Questions on LCM of 6986 and 6991

1. What is the LCM of 6986 and 6991?

Answer: LCM of 6986 and 6991 is 48839126.

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 6991?

Answer: Factors of 6991 are 1, 6991. There are 2 integers that are factors of 6991. The greatest factor of 6991 is 6991.

4. How to Find the LCM of 6986 and 6991?

Answer:

Least Common Multiple of 6986 and 6991 = 48839126

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6991

6991 = 6991

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

LCM = 48839126 = 2 x 7 x 499 x 6991

Step 4: Therefore, the least common multiple of 6986 and 6991 is 48839126.