Least Common Multiple of 6975 and 6983

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 6983 the smallest integer that is 48706425 that is divisible by both numbers.

Least Common Multiple (LCM) of 6975 and 6983 is 48706425.

LCM(6975,6983) = 48706425

LCM of 6975 and 6983

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

LCM of:
and

Least Common Multiple of 6975 and 6983

LCM of 6975 and 6983 is 48706425

Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6983. First we will calculate the prime factors of 6975 and 6983.

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 6983


6983 6983
1

Prime factors of 6983 are 6983. Prime factorization of 6983 in exponential form is:

6983 = 69831

Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6983.

LCM(6975,6983) = 32×52×311×69831
LCM(6975,6983) = 48706425

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 6983

List of positive integer factors of 6983 that divides 6983 without a remainder.

1, 6983

Least Common Multiple of 6975 and 6983 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 6983, than apply into the LCM equation.

GCF(6975,6983) = 1
LCM(6975,6983) = ( 6975 × 6983) / 1
LCM(6975,6983) = 48706425 / 1
LCM(6975,6983) = 48706425

Properties of LCM 6975 and 6983

(i) The LCM of 6983 and 6975 is associative

LCM of 6975 and 6983 = LCM of 6983 and 6975

Related Least Common Multiples of 6975

Related Least Common Multiples of 6983

Frequently Asked Questions on LCM of 6975 and 6983

1. What is the LCM of 6975 and 6983?

Answer: LCM of 6975 and 6983 is 48706425.

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 6983?

Answer: Factors of 6983 are 1, 6983. There are 2 integers that are factors of 6983. The greatest factor of 6983 is 6983.

4. How to Find the LCM of 6975 and 6983?

Answer:

Least Common Multiple of 6975 and 6983 = 48706425

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 6983

6983 = 6983

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

LCM = 48706425 = 3 x 3 x 5 x 5 x 31 x 6983

Step 4: Therefore, the least common multiple of 6975 and 6983 is 48706425.