Least Common Multiple of 6967 and 6975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6967 and 6975 the smallest integer that is 48594825 that is divisible by both numbers.

Least Common Multiple (LCM) of 6967 and 6975 is 48594825.

LCM(6967,6975) = 48594825

LCM of 6967 and 6975

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

LCM of:
and

Least Common Multiple of 6967 and 6975

LCM of 6967 and 6975 is 48594825

Least common multiple can be found by multiplying the highest exponent prime factors of 6967 and 6975. First we will calculate the prime factors of 6967 and 6975.

Prime Factorization of 6967


6967 6967
1

Prime factors of 6967 are 6967. Prime factorization of 6967 in exponential form is:

6967 = 69671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6967 and 6975.

LCM(6967,6975) = 32×52×311×69671
LCM(6967,6975) = 48594825

Factors of 6967

List of positive integer factors of 6967 that divides 6967 without a remainder.

1, 6967

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

Least Common Multiple of 6967 and 6975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6967 and 6975, than apply into the LCM equation.

GCF(6967,6975) = 1
LCM(6967,6975) = ( 6967 × 6975) / 1
LCM(6967,6975) = 48594825 / 1
LCM(6967,6975) = 48594825

Properties of LCM 6967 and 6975

(i) The LCM of 6975 and 6967 is associative

LCM of 6967 and 6975 = LCM of 6975 and 6967

Related Least Common Multiples of 6967

Related Least Common Multiples of 6975

Frequently Asked Questions on LCM of 6967 and 6975

1. What is the LCM of 6967 and 6975?

Answer: LCM of 6967 and 6975 is 48594825.

2. What are the Factors of 6967?

Answer: Factors of 6967 are 1, 6967. There are 2 integers that are factors of 6967. The greatest factor of 6967 is 6967.

3. 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.

4. How to Find the LCM of 6967 and 6975?

Answer:

Least Common Multiple of 6967 and 6975 = 48594825

Step 1: Find the prime factorization of 6967

6967 = 6967

Step 2: Find the prime factorization of 6975

6975 = 3 x 3 x 5 x 5 x 31

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

LCM = 48594825 = 3 x 3 x 5 x 5 x 31 x 6967

Step 4: Therefore, the least common multiple of 6967 and 6975 is 48594825.