Least Common Multiple of 6984 and 6989

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 6989 the smallest integer that is 48811176 that is divisible by both numbers.

Least Common Multiple (LCM) of 6984 and 6989 is 48811176.

LCM(6984,6989) = 48811176

LCM of 6984 and 6989

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

LCM of:
and

Least Common Multiple of 6984 and 6989

LCM of 6984 and 6989 is 48811176

Least common multiple can be found by multiplying the highest exponent prime factors of 6984 and 6989. First we will calculate the prime factors of 6984 and 6989.

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 6989


29 6989
241 241
1

Prime factors of 6989 are 29,241. Prime factorization of 6989 in exponential form is:

6989 = 291×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6984 and 6989.

LCM(6984,6989) = 23×32×291×971×2411
LCM(6984,6989) = 48811176

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 6989

List of positive integer factors of 6989 that divides 6989 without a remainder.

1, 29, 241, 6989

Least Common Multiple of 6984 and 6989 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 6989, than apply into the LCM equation.

GCF(6984,6989) = 1
LCM(6984,6989) = ( 6984 × 6989) / 1
LCM(6984,6989) = 48811176 / 1
LCM(6984,6989) = 48811176

Properties of LCM 6984 and 6989

(i) The LCM of 6989 and 6984 is associative

LCM of 6984 and 6989 = LCM of 6989 and 6984

Related Least Common Multiples of 6984

Related Least Common Multiples of 6989

Frequently Asked Questions on LCM of 6984 and 6989

1. What is the LCM of 6984 and 6989?

Answer: LCM of 6984 and 6989 is 48811176.

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 6989?

Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.

4. How to Find the LCM of 6984 and 6989?

Answer:

Least Common Multiple of 6984 and 6989 = 48811176

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 6989

6989 = 29 x 241

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

LCM = 48811176 = 2 x 2 x 2 x 3 x 3 x 29 x 97 x 241

Step 4: Therefore, the least common multiple of 6984 and 6989 is 48811176.