Least Common Multiple of 8966 and 8973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8966 and 8973 the smallest integer that is 80451918 that is divisible by both numbers.

Least Common Multiple (LCM) of 8966 and 8973 is 80451918.

LCM(8966,8973) = 80451918

LCM of 8966 and 8973

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

LCM of:
and

Least Common Multiple of 8966 and 8973

LCM of 8966 and 8973 is 80451918

Least common multiple can be found by multiplying the highest exponent prime factors of 8966 and 8973. First we will calculate the prime factors of 8966 and 8973.

Prime Factorization of 8966


2 8966
4483 4483
1

Prime factors of 8966 are 2,4483. Prime factorization of 8966 in exponential form is:

8966 = 21×44831

Prime Factorization of 8973


3 8973
3 2991
997 997
1

Prime factors of 8973 are 3,997. Prime factorization of 8973 in exponential form is:

8973 = 32×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 8966 and 8973.

LCM(8966,8973) = 21×32×9971×44831
LCM(8966,8973) = 80451918

Factors of 8966

List of positive integer factors of 8966 that divides 8966 without a remainder.

1, 2, 4483, 8966

Factors of 8973

List of positive integer factors of 8973 that divides 8973 without a remainder.

1, 3, 9, 997, 2991, 8973

Least Common Multiple of 8966 and 8973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8966 and 8973, than apply into the LCM equation.

GCF(8966,8973) = 1
LCM(8966,8973) = ( 8966 × 8973) / 1
LCM(8966,8973) = 80451918 / 1
LCM(8966,8973) = 80451918

Properties of LCM 8966 and 8973

(i) The LCM of 8973 and 8966 is associative

LCM of 8966 and 8973 = LCM of 8973 and 8966

Related Least Common Multiples of 8966

Related Least Common Multiples of 8973

Frequently Asked Questions on LCM of 8966 and 8973

1. What is the LCM of 8966 and 8973?

Answer: LCM of 8966 and 8973 is 80451918.

2. What are the Factors of 8966?

Answer: Factors of 8966 are 1, 2, 4483, 8966. There are 4 integers that are factors of 8966. The greatest factor of 8966 is 8966.

3. What are the Factors of 8973?

Answer: Factors of 8973 are 1, 3, 9, 997, 2991, 8973. There are 6 integers that are factors of 8973. The greatest factor of 8973 is 8973.

4. How to Find the LCM of 8966 and 8973?

Answer:

Least Common Multiple of 8966 and 8973 = 80451918

Step 1: Find the prime factorization of 8966

8966 = 2 x 4483

Step 2: Find the prime factorization of 8973

8973 = 3 x 3 x 997

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

LCM = 80451918 = 2 x 3 x 3 x 997 x 4483

Step 4: Therefore, the least common multiple of 8966 and 8973 is 80451918.