Least Common Multiple of 6975 and 6982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6975 and 6982 the smallest integer that is 48699450 that is divisible by both numbers.

Least Common Multiple (LCM) of 6975 and 6982 is 48699450.

LCM(6975,6982) = 48699450

LCM of 6975 and 6982

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

LCM of:
and

Least Common Multiple of 6975 and 6982

LCM of 6975 and 6982 is 48699450

Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6982. First we will calculate the prime factors of 6975 and 6982.

Prime Factorization of 6975


3 6975
3 2325
5 775
5 155
31 31
1

Prime factors of 6975 are 3, 5,31. Prime factorization of 6975 in exponential form is:

6975 = 32×52×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6982.

LCM(6975,6982) = 21×32×52×311×34911
LCM(6975,6982) = 48699450

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975

Factors of 6982

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

1, 2, 3491, 6982

Least Common Multiple of 6975 and 6982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6975 and 6982, than apply into the LCM equation.

GCF(6975,6982) = 1
LCM(6975,6982) = ( 6975 × 6982) / 1
LCM(6975,6982) = 48699450 / 1
LCM(6975,6982) = 48699450

Properties of LCM 6975 and 6982

(i) The LCM of 6982 and 6975 is associative

LCM of 6975 and 6982 = LCM of 6982 and 6975

Related Least Common Multiples of 6975

Related Least Common Multiples of 6982

Frequently Asked Questions on LCM of 6975 and 6982

1. What is the LCM of 6975 and 6982?

Answer: LCM of 6975 and 6982 is 48699450.

2. What are the Factors of 6975?

Answer: Factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975. There are 18 integers that are factors of 6975. The greatest factor of 6975 is 6975.

3. 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.

4. How to Find the LCM of 6975 and 6982?

Answer:

Least Common Multiple of 6975 and 6982 = 48699450

Step 1: Find the prime factorization of 6975

6975 = 3 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 6982

6982 = 2 x 3491

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

LCM = 48699450 = 2 x 3 x 3 x 5 x 5 x 31 x 3491

Step 4: Therefore, the least common multiple of 6975 and 6982 is 48699450.