Least Common Multiple of 8969 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 8969 and 8974 the smallest integer that is 80487806 that is divisible by both numbers.

Least Common Multiple (LCM) of 8969 and 8974 is 80487806.

LCM(8969,8974) = 80487806

LCM of 8969 and 8974

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

LCM of:
and

Least Common Multiple of 8969 and 8974

LCM of 8969 and 8974 is 80487806

Least common multiple can be found by multiplying the highest exponent prime factors of 8969 and 8974. First we will calculate the prime factors of 8969 and 8974.

Prime Factorization of 8969


8969 8969
1

Prime factors of 8969 are 8969. Prime factorization of 8969 in exponential form is:

8969 = 89691

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 8969 and 8974.

LCM(8969,8974) = 21×71×6411×89691
LCM(8969,8974) = 80487806

Factors of 8969

List of positive integer factors of 8969 that divides 8969 without a remainder.

1, 8969

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 8969 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 8969 and 8974, than apply into the LCM equation.

GCF(8969,8974) = 1
LCM(8969,8974) = ( 8969 × 8974) / 1
LCM(8969,8974) = 80487806 / 1
LCM(8969,8974) = 80487806

Properties of LCM 8969 and 8974

(i) The LCM of 8974 and 8969 is associative

LCM of 8969 and 8974 = LCM of 8974 and 8969

Related Least Common Multiples of 8969

Related Least Common Multiples of 8974

Frequently Asked Questions on LCM of 8969 and 8974

1. What is the LCM of 8969 and 8974?

Answer: LCM of 8969 and 8974 is 80487806.

2. What are the Factors of 8969?

Answer: Factors of 8969 are 1, 8969. There are 2 integers that are factors of 8969. The greatest factor of 8969 is 8969.

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 8969 and 8974?

Answer:

Least Common Multiple of 8969 and 8974 = 80487806

Step 1: Find the prime factorization of 8969

8969 = 8969

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 = 80487806 = 2 x 7 x 641 x 8969

Step 4: Therefore, the least common multiple of 8969 and 8974 is 80487806.