Least Common Multiple of 6978 and 6986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6978 and 6986 the smallest integer that is 24374154 that is divisible by both numbers.

Least Common Multiple (LCM) of 6978 and 6986 is 24374154.

LCM(6978,6986) = 24374154

LCM of 6978 and 6986

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

LCM of:
and

Least Common Multiple of 6978 and 6986

LCM of 6978 and 6986 is 24374154

Least common multiple can be found by multiplying the highest exponent prime factors of 6978 and 6986. First we will calculate the prime factors of 6978 and 6986.

Prime Factorization of 6978


2 6978
3 3489
1163 1163
1

Prime factors of 6978 are 2, 3,1163. Prime factorization of 6978 in exponential form is:

6978 = 21×31×11631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6978 and 6986.

LCM(6978,6986) = 21×31×71×4991×11631
LCM(6978,6986) = 24374154

Factors of 6978

List of positive integer factors of 6978 that divides 6978 without a remainder.

1, 2, 3, 6, 1163, 2326, 3489, 6978

Factors of 6986

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

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

Least Common Multiple of 6978 and 6986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6978 and 6986, than apply into the LCM equation.

GCF(6978,6986) = 2
LCM(6978,6986) = ( 6978 × 6986) / 2
LCM(6978,6986) = 48748308 / 2
LCM(6978,6986) = 24374154

Properties of LCM 6978 and 6986

(i) The LCM of 6986 and 6978 is associative

LCM of 6978 and 6986 = LCM of 6986 and 6978

Related Least Common Multiples of 6978

Related Least Common Multiples of 6986

Frequently Asked Questions on LCM of 6978 and 6986

1. What is the LCM of 6978 and 6986?

Answer: LCM of 6978 and 6986 is 24374154.

2. What are the Factors of 6978?

Answer: Factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978. There are 8 integers that are factors of 6978. The greatest factor of 6978 is 6978.

3. 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.

4. How to Find the LCM of 6978 and 6986?

Answer:

Least Common Multiple of 6978 and 6986 = 24374154

Step 1: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

Step 2: Find the prime factorization of 6986

6986 = 2 x 7 x 499

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

LCM = 24374154 = 2 x 3 x 7 x 499 x 1163

Step 4: Therefore, the least common multiple of 6978 and 6986 is 24374154.