Least Common Multiple of 8971 and 8974

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 8974 the smallest integer that is 80505754 that is divisible by both numbers.

Least Common Multiple (LCM) of 8971 and 8974 is 80505754.

LCM(8971,8974) = 80505754

LCM of 8971 and 8974

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

LCM of:
and

Least Common Multiple of 8971 and 8974

LCM of 8971 and 8974 is 80505754

Least common multiple can be found by multiplying the highest exponent prime factors of 8971 and 8974. First we will calculate the prime factors of 8971 and 8974.

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 8974


2 8974
7 4487
641 641
1

Prime factors of 8974 are 2, 7,641. Prime factorization of 8974 in exponential form is:

8974 = 21×71×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 8971 and 8974.

LCM(8971,8974) = 21×71×6411×89711
LCM(8971,8974) = 80505754

Factors of 8971

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

1, 8971

Factors of 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1, 2, 7, 14, 641, 1282, 4487, 8974

Least Common Multiple of 8971 and 8974 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 8974, than apply into the LCM equation.

GCF(8971,8974) = 1
LCM(8971,8974) = ( 8971 × 8974) / 1
LCM(8971,8974) = 80505754 / 1
LCM(8971,8974) = 80505754

Properties of LCM 8971 and 8974

(i) The LCM of 8974 and 8971 is associative

LCM of 8971 and 8974 = LCM of 8974 and 8971

Related Least Common Multiples of 8971

Related Least Common Multiples of 8974

Frequently Asked Questions on LCM of 8971 and 8974

1. What is the LCM of 8971 and 8974?

Answer: LCM of 8971 and 8974 is 80505754.

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 8974?

Answer: Factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974. There are 8 integers that are factors of 8974. The greatest factor of 8974 is 8974.

4. How to Find the LCM of 8971 and 8974?

Answer:

Least Common Multiple of 8971 and 8974 = 80505754

Step 1: Find the prime factorization of 8971

8971 = 8971

Step 2: Find the prime factorization of 8974

8974 = 2 x 7 x 641

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

LCM = 80505754 = 2 x 7 x 641 x 8971

Step 4: Therefore, the least common multiple of 8971 and 8974 is 80505754.