Least Common Multiple of 6982 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 6982 and 6989 the smallest integer that is 48797198 that is divisible by both numbers.

Least Common Multiple (LCM) of 6982 and 6989 is 48797198.

LCM(6982,6989) = 48797198

LCM of 6982 and 6989

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

LCM of:
and

Least Common Multiple of 6982 and 6989

LCM of 6982 and 6989 is 48797198

Least common multiple can be found by multiplying the highest exponent prime factors of 6982 and 6989. First we will calculate the prime factors of 6982 and 6989.

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

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 6982 and 6989.

LCM(6982,6989) = 21×291×2411×34911
LCM(6982,6989) = 48797198

Factors of 6982

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

1, 2, 3491, 6982

Factors of 6989

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

1, 29, 241, 6989

Least Common Multiple of 6982 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 6982 and 6989, than apply into the LCM equation.

GCF(6982,6989) = 1
LCM(6982,6989) = ( 6982 × 6989) / 1
LCM(6982,6989) = 48797198 / 1
LCM(6982,6989) = 48797198

Properties of LCM 6982 and 6989

(i) The LCM of 6989 and 6982 is associative

LCM of 6982 and 6989 = LCM of 6989 and 6982

Related Least Common Multiples of 6982

Related Least Common Multiples of 6989

Frequently Asked Questions on LCM of 6982 and 6989

1. What is the LCM of 6982 and 6989?

Answer: LCM of 6982 and 6989 is 48797198.

2. 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.

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 6982 and 6989?

Answer:

Least Common Multiple of 6982 and 6989 = 48797198

Step 1: Find the prime factorization of 6982

6982 = 2 x 3491

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 = 48797198 = 2 x 29 x 241 x 3491

Step 4: Therefore, the least common multiple of 6982 and 6989 is 48797198.