Least Common Multiple of 6975 and 6981

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 6981 the smallest integer that is 16230825 that is divisible by both numbers.

Least Common Multiple (LCM) of 6975 and 6981 is 16230825.

LCM(6975,6981) = 16230825

LCM of 6975 and 6981

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

LCM of:
and

Least Common Multiple of 6975 and 6981

LCM of 6975 and 6981 is 16230825

Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6981. First we will calculate the prime factors of 6975 and 6981.

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 6981


3 6981
13 2327
179 179
1

Prime factors of 6981 are 3, 13,179. Prime factorization of 6981 in exponential form is:

6981 = 31×131×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6981.

LCM(6975,6981) = 32×52×131×311×1791
LCM(6975,6981) = 16230825

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 6981

List of positive integer factors of 6981 that divides 6981 without a remainder.

1, 3, 13, 39, 179, 537, 2327, 6981

Least Common Multiple of 6975 and 6981 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 6981, than apply into the LCM equation.

GCF(6975,6981) = 3
LCM(6975,6981) = ( 6975 × 6981) / 3
LCM(6975,6981) = 48692475 / 3
LCM(6975,6981) = 16230825

Properties of LCM 6975 and 6981

(i) The LCM of 6981 and 6975 is associative

LCM of 6975 and 6981 = LCM of 6981 and 6975

Related Least Common Multiples of 6975

Related Least Common Multiples of 6981

Frequently Asked Questions on LCM of 6975 and 6981

1. What is the LCM of 6975 and 6981?

Answer: LCM of 6975 and 6981 is 16230825.

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 6981?

Answer: Factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981. There are 8 integers that are factors of 6981. The greatest factor of 6981 is 6981.

4. How to Find the LCM of 6975 and 6981?

Answer:

Least Common Multiple of 6975 and 6981 = 16230825

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 6981

6981 = 3 x 13 x 179

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

LCM = 16230825 = 3 x 3 x 5 x 5 x 13 x 31 x 179

Step 4: Therefore, the least common multiple of 6975 and 6981 is 16230825.