Least Common Multiple of 6971 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 6971 and 6975 the smallest integer that is 48622725 that is divisible by both numbers.

Least Common Multiple (LCM) of 6971 and 6975 is 48622725.

LCM(6971,6975) = 48622725

LCM of 6971 and 6975

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

LCM of:
and

Least Common Multiple of 6971 and 6975

LCM of 6971 and 6975 is 48622725

Least common multiple can be found by multiplying the highest exponent prime factors of 6971 and 6975. First we will calculate the prime factors of 6971 and 6975.

Prime Factorization of 6971


6971 6971
1

Prime factors of 6971 are 6971. Prime factorization of 6971 in exponential form is:

6971 = 69711

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 6971 and 6975.

LCM(6971,6975) = 32×52×311×69711
LCM(6971,6975) = 48622725

Factors of 6971

List of positive integer factors of 6971 that divides 6971 without a remainder.

1, 6971

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 6971 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 6971 and 6975, than apply into the LCM equation.

GCF(6971,6975) = 1
LCM(6971,6975) = ( 6971 × 6975) / 1
LCM(6971,6975) = 48622725 / 1
LCM(6971,6975) = 48622725

Properties of LCM 6971 and 6975

(i) The LCM of 6975 and 6971 is associative

LCM of 6971 and 6975 = LCM of 6975 and 6971

Related Least Common Multiples of 6971

Related Least Common Multiples of 6975

Frequently Asked Questions on LCM of 6971 and 6975

1. What is the LCM of 6971 and 6975?

Answer: LCM of 6971 and 6975 is 48622725.

2. What are the Factors of 6971?

Answer: Factors of 6971 are 1, 6971. There are 2 integers that are factors of 6971. The greatest factor of 6971 is 6971.

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 6971 and 6975?

Answer:

Least Common Multiple of 6971 and 6975 = 48622725

Step 1: Find the prime factorization of 6971

6971 = 6971

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 = 48622725 = 3 x 3 x 5 x 5 x 31 x 6971

Step 4: Therefore, the least common multiple of 6971 and 6975 is 48622725.