Least Common Multiple of 8967 and 8971

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 8971 the smallest integer that is 80442957 that is divisible by both numbers.

Least Common Multiple (LCM) of 8967 and 8971 is 80442957.

LCM(8967,8971) = 80442957

LCM of 8967 and 8971

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

LCM of:
and

Least Common Multiple of 8967 and 8971

LCM of 8967 and 8971 is 80442957

Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8971. First we will calculate the prime factors of 8967 and 8971.

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 8971


8971 8971
1

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

8971 = 89711

Now multiplying the highest exponent prime factors to calculate the LCM of 8967 and 8971.

LCM(8967,8971) = 31×72×611×89711
LCM(8967,8971) = 80442957

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 8971

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

1, 8971

Least Common Multiple of 8967 and 8971 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 8971, than apply into the LCM equation.

GCF(8967,8971) = 1
LCM(8967,8971) = ( 8967 × 8971) / 1
LCM(8967,8971) = 80442957 / 1
LCM(8967,8971) = 80442957

Properties of LCM 8967 and 8971

(i) The LCM of 8971 and 8967 is associative

LCM of 8967 and 8971 = LCM of 8971 and 8967

Related Least Common Multiples of 8967

Related Least Common Multiples of 8971

Frequently Asked Questions on LCM of 8967 and 8971

1. What is the LCM of 8967 and 8971?

Answer: LCM of 8967 and 8971 is 80442957.

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 8971?

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

4. How to Find the LCM of 8967 and 8971?

Answer:

Least Common Multiple of 8967 and 8971 = 80442957

Step 1: Find the prime factorization of 8967

8967 = 3 x 7 x 7 x 61

Step 2: Find the prime factorization of 8971

8971 = 8971

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

LCM = 80442957 = 3 x 7 x 7 x 61 x 8971

Step 4: Therefore, the least common multiple of 8967 and 8971 is 80442957.