Least Common Multiple of 8967 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 8967 and 8973 the smallest integer that is 26820297 that is divisible by both numbers.

Least Common Multiple (LCM) of 8967 and 8973 is 26820297.

LCM(8967,8973) = 26820297

LCM of 8967 and 8973

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

LCM of:
and

Least Common Multiple of 8967 and 8973

LCM of 8967 and 8973 is 26820297

Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8973. First we will calculate the prime factors of 8967 and 8973.

Prime Factorization of 8967


3 8967
7 2989
7 427
61 61
1

Prime factors of 8967 are 3, 7,61. Prime factorization of 8967 in exponential form is:

8967 = 31×72×611

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 8967 and 8973.

LCM(8967,8973) = 32×72×611×9971
LCM(8967,8973) = 26820297

Factors of 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967

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 8967 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 8967 and 8973, than apply into the LCM equation.

GCF(8967,8973) = 3
LCM(8967,8973) = ( 8967 × 8973) / 3
LCM(8967,8973) = 80460891 / 3
LCM(8967,8973) = 26820297

Properties of LCM 8967 and 8973

(i) The LCM of 8973 and 8967 is associative

LCM of 8967 and 8973 = LCM of 8973 and 8967

Related Least Common Multiples of 8967

Related Least Common Multiples of 8973

Frequently Asked Questions on LCM of 8967 and 8973

1. What is the LCM of 8967 and 8973?

Answer: LCM of 8967 and 8973 is 26820297.

2. What are the Factors of 8967?

Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.

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 8967 and 8973?

Answer:

Least Common Multiple of 8967 and 8973 = 26820297

Step 1: Find the prime factorization of 8967

8967 = 3 x 7 x 7 x 61

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 = 26820297 = 3 x 3 x 7 x 7 x 61 x 997

Step 4: Therefore, the least common multiple of 8967 and 8973 is 26820297.