Least Common Multiple of 8971 and 8975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8971 and 8975 the smallest integer that is 80514725 that is divisible by both numbers.

Least Common Multiple (LCM) of 8971 and 8975 is 80514725.

LCM(8971,8975) = 80514725

LCM of 8971 and 8975

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

LCM of:
and

Least Common Multiple of 8971 and 8975

LCM of 8971 and 8975 is 80514725

Least common multiple can be found by multiplying the highest exponent prime factors of 8971 and 8975. First we will calculate the prime factors of 8971 and 8975.

Prime Factorization of 8971


8971 8971
1

Prime factors of 8971 are 8971. Prime factorization of 8971 in exponential form is:

8971 = 89711

Prime Factorization of 8975


5 8975
5 1795
359 359
1

Prime factors of 8975 are 5,359. Prime factorization of 8975 in exponential form is:

8975 = 52×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 8971 and 8975.

LCM(8971,8975) = 52×3591×89711
LCM(8971,8975) = 80514725

Factors of 8971

List of positive integer factors of 8971 that divides 8971 without a remainder.

1, 8971

Factors of 8975

List of positive integer factors of 8975 that divides 8975 without a remainder.

1, 5, 25, 359, 1795, 8975

Least Common Multiple of 8971 and 8975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8971 and 8975, than apply into the LCM equation.

GCF(8971,8975) = 1
LCM(8971,8975) = ( 8971 × 8975) / 1
LCM(8971,8975) = 80514725 / 1
LCM(8971,8975) = 80514725

Properties of LCM 8971 and 8975

(i) The LCM of 8975 and 8971 is associative

LCM of 8971 and 8975 = LCM of 8975 and 8971

Related Least Common Multiples of 8971

Related Least Common Multiples of 8975

Frequently Asked Questions on LCM of 8971 and 8975

1. What is the LCM of 8971 and 8975?

Answer: LCM of 8971 and 8975 is 80514725.

2. What are the Factors of 8971?

Answer: Factors of 8971 are 1, 8971. There are 2 integers that are factors of 8971. The greatest factor of 8971 is 8971.

3. What are the Factors of 8975?

Answer: Factors of 8975 are 1, 5, 25, 359, 1795, 8975. There are 6 integers that are factors of 8975. The greatest factor of 8975 is 8975.

4. How to Find the LCM of 8971 and 8975?

Answer:

Least Common Multiple of 8971 and 8975 = 80514725

Step 1: Find the prime factorization of 8971

8971 = 8971

Step 2: Find the prime factorization of 8975

8975 = 5 x 5 x 359

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

LCM = 80514725 = 5 x 5 x 359 x 8971

Step 4: Therefore, the least common multiple of 8971 and 8975 is 80514725.