Least Common Multiple of 6982 and 6990

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 6990 the smallest integer that is 24402090 that is divisible by both numbers.

Least Common Multiple (LCM) of 6982 and 6990 is 24402090.

LCM(6982,6990) = 24402090

LCM of 6982 and 6990

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

LCM of:
and

Least Common Multiple of 6982 and 6990

LCM of 6982 and 6990 is 24402090

Least common multiple can be found by multiplying the highest exponent prime factors of 6982 and 6990. First we will calculate the prime factors of 6982 and 6990.

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 6990


2 6990
3 3495
5 1165
233 233
1

Prime factors of 6990 are 2, 3, 5,233. Prime factorization of 6990 in exponential form is:

6990 = 21×31×51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 6982 and 6990.

LCM(6982,6990) = 21×31×51×2331×34911
LCM(6982,6990) = 24402090

Factors of 6982

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

1, 2, 3491, 6982

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990

Least Common Multiple of 6982 and 6990 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 6990, than apply into the LCM equation.

GCF(6982,6990) = 2
LCM(6982,6990) = ( 6982 × 6990) / 2
LCM(6982,6990) = 48804180 / 2
LCM(6982,6990) = 24402090

Properties of LCM 6982 and 6990

(i) The LCM of 6990 and 6982 is associative

LCM of 6982 and 6990 = LCM of 6990 and 6982

Related Least Common Multiples of 6982

Related Least Common Multiples of 6990

Frequently Asked Questions on LCM of 6982 and 6990

1. What is the LCM of 6982 and 6990?

Answer: LCM of 6982 and 6990 is 24402090.

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 6990?

Answer: Factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990. There are 16 integers that are factors of 6990. The greatest factor of 6990 is 6990.

4. How to Find the LCM of 6982 and 6990?

Answer:

Least Common Multiple of 6982 and 6990 = 24402090

Step 1: Find the prime factorization of 6982

6982 = 2 x 3491

Step 2: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

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

LCM = 24402090 = 2 x 3 x 5 x 233 x 3491

Step 4: Therefore, the least common multiple of 6982 and 6990 is 24402090.