Least Common Multiple of 6984 and 6988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6984 and 6988 the smallest integer that is 12201048 that is divisible by both numbers.

Least Common Multiple (LCM) of 6984 and 6988 is 12201048.

LCM(6984,6988) = 12201048

LCM of 6984 and 6988

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

LCM of:
and

Least Common Multiple of 6984 and 6988

LCM of 6984 and 6988 is 12201048

Least common multiple can be found by multiplying the highest exponent prime factors of 6984 and 6988. First we will calculate the prime factors of 6984 and 6988.

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

Prime Factorization of 6988


2 6988
2 3494
1747 1747
1

Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:

6988 = 22×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 6984 and 6988.

LCM(6984,6988) = 23×32×971×17471
LCM(6984,6988) = 12201048

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

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1, 2, 4, 1747, 3494, 6988

Least Common Multiple of 6984 and 6988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6984 and 6988, than apply into the LCM equation.

GCF(6984,6988) = 4
LCM(6984,6988) = ( 6984 × 6988) / 4
LCM(6984,6988) = 48804192 / 4
LCM(6984,6988) = 12201048

Properties of LCM 6984 and 6988

(i) The LCM of 6988 and 6984 is associative

LCM of 6984 and 6988 = LCM of 6988 and 6984

Related Least Common Multiples of 6984

Related Least Common Multiples of 6988

Frequently Asked Questions on LCM of 6984 and 6988

1. What is the LCM of 6984 and 6988?

Answer: LCM of 6984 and 6988 is 12201048.

2. 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.

3. What are the Factors of 6988?

Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.

4. How to Find the LCM of 6984 and 6988?

Answer:

Least Common Multiple of 6984 and 6988 = 12201048

Step 1: Find the prime factorization of 6984

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

Step 2: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

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

LCM = 12201048 = 2 x 2 x 2 x 3 x 3 x 97 x 1747

Step 4: Therefore, the least common multiple of 6984 and 6988 is 12201048.