Least Common Multiple of 6978 and 6982

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 6982 the smallest integer that is 24360198 that is divisible by both numbers.

Least Common Multiple (LCM) of 6978 and 6982 is 24360198.

LCM(6978,6982) = 24360198

LCM of 6978 and 6982

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

LCM of:
and

Least Common Multiple of 6978 and 6982

LCM of 6978 and 6982 is 24360198

Least common multiple can be found by multiplying the highest exponent prime factors of 6978 and 6982. First we will calculate the prime factors of 6978 and 6982.

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 6982


2 6982
3491 3491
1

Prime factors of 6982 are 2,3491. Prime factorization of 6982 in exponential form is:

6982 = 21×34911

Now multiplying the highest exponent prime factors to calculate the LCM of 6978 and 6982.

LCM(6978,6982) = 21×31×11631×34911
LCM(6978,6982) = 24360198

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 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1, 2, 3491, 6982

Least Common Multiple of 6978 and 6982 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 6982, than apply into the LCM equation.

GCF(6978,6982) = 2
LCM(6978,6982) = ( 6978 × 6982) / 2
LCM(6978,6982) = 48720396 / 2
LCM(6978,6982) = 24360198

Properties of LCM 6978 and 6982

(i) The LCM of 6982 and 6978 is associative

LCM of 6978 and 6982 = LCM of 6982 and 6978

Related Least Common Multiples of 6978

Related Least Common Multiples of 6982

Frequently Asked Questions on LCM of 6978 and 6982

1. What is the LCM of 6978 and 6982?

Answer: LCM of 6978 and 6982 is 24360198.

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 6982?

Answer: Factors of 6982 are 1, 2, 3491, 6982. There are 4 integers that are factors of 6982. The greatest factor of 6982 is 6982.

4. How to Find the LCM of 6978 and 6982?

Answer:

Least Common Multiple of 6978 and 6982 = 24360198

Step 1: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

Step 2: Find the prime factorization of 6982

6982 = 2 x 3491

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

LCM = 24360198 = 2 x 3 x 1163 x 3491

Step 4: Therefore, the least common multiple of 6978 and 6982 is 24360198.