Least Common Multiple of 6978 and 6984

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 6984 the smallest integer that is 8122392 that is divisible by both numbers.

Least Common Multiple (LCM) of 6978 and 6984 is 8122392.

LCM(6978,6984) = 8122392

LCM of 6978 and 6984

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

LCM of:
and

Least Common Multiple of 6978 and 6984

LCM of 6978 and 6984 is 8122392

Least common multiple can be found by multiplying the highest exponent prime factors of 6978 and 6984. First we will calculate the prime factors of 6978 and 6984.

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 6984


2 6984
2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 6984 are 2, 3,97. Prime factorization of 6984 in exponential form is:

6984 = 23×32×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6978 and 6984.

LCM(6978,6984) = 23×32×971×11631
LCM(6978,6984) = 8122392

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 6984

List of positive integer factors of 6984 that divides 6984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984

Least Common Multiple of 6978 and 6984 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 6984, than apply into the LCM equation.

GCF(6978,6984) = 6
LCM(6978,6984) = ( 6978 × 6984) / 6
LCM(6978,6984) = 48734352 / 6
LCM(6978,6984) = 8122392

Properties of LCM 6978 and 6984

(i) The LCM of 6984 and 6978 is associative

LCM of 6978 and 6984 = LCM of 6984 and 6978

Related Least Common Multiples of 6978

Related Least Common Multiples of 6984

Frequently Asked Questions on LCM of 6978 and 6984

1. What is the LCM of 6978 and 6984?

Answer: LCM of 6978 and 6984 is 8122392.

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 6984?

Answer: Factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984. There are 24 integers that are factors of 6984. The greatest factor of 6984 is 6984.

4. How to Find the LCM of 6978 and 6984?

Answer:

Least Common Multiple of 6978 and 6984 = 8122392

Step 1: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

Step 2: Find the prime factorization of 6984

6984 = 2 x 2 x 2 x 3 x 3 x 97

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

LCM = 8122392 = 2 x 2 x 2 x 3 x 3 x 97 x 1163

Step 4: Therefore, the least common multiple of 6978 and 6984 is 8122392.