Least Common Multiple of 8997 and 9002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8997 and 9002 the smallest integer that is 80990994 that is divisible by both numbers.

Least Common Multiple (LCM) of 8997 and 9002 is 80990994.

LCM(8997,9002) = 80990994

LCM of 8997 and 9002

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

LCM of:
and

Least Common Multiple of 8997 and 9002

LCM of 8997 and 9002 is 80990994

Least common multiple can be found by multiplying the highest exponent prime factors of 8997 and 9002. First we will calculate the prime factors of 8997 and 9002.

Prime Factorization of 8997


3 8997
2999 2999
1

Prime factors of 8997 are 3,2999. Prime factorization of 8997 in exponential form is:

8997 = 31×29991

Prime Factorization of 9002


2 9002
7 4501
643 643
1

Prime factors of 9002 are 2, 7,643. Prime factorization of 9002 in exponential form is:

9002 = 21×71×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 8997 and 9002.

LCM(8997,9002) = 21×31×71×6431×29991
LCM(8997,9002) = 80990994

Factors of 8997

List of positive integer factors of 8997 that divides 8997 without a remainder.

1, 3, 2999, 8997

Factors of 9002

List of positive integer factors of 9002 that divides 9002 without a remainder.

1, 2, 7, 14, 643, 1286, 4501, 9002

Least Common Multiple of 8997 and 9002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8997 and 9002, than apply into the LCM equation.

GCF(8997,9002) = 1
LCM(8997,9002) = ( 8997 × 9002) / 1
LCM(8997,9002) = 80990994 / 1
LCM(8997,9002) = 80990994

Properties of LCM 8997 and 9002

(i) The LCM of 9002 and 8997 is associative

LCM of 8997 and 9002 = LCM of 9002 and 8997

Related Least Common Multiples of 8997

Related Least Common Multiples of 9002

Frequently Asked Questions on LCM of 8997 and 9002

1. What is the LCM of 8997 and 9002?

Answer: LCM of 8997 and 9002 is 80990994.

2. What are the Factors of 8997?

Answer: Factors of 8997 are 1, 3, 2999, 8997. There are 4 integers that are factors of 8997. The greatest factor of 8997 is 8997.

3. What are the Factors of 9002?

Answer: Factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. There are 8 integers that are factors of 9002. The greatest factor of 9002 is 9002.

4. How to Find the LCM of 8997 and 9002?

Answer:

Least Common Multiple of 8997 and 9002 = 80990994

Step 1: Find the prime factorization of 8997

8997 = 3 x 2999

Step 2: Find the prime factorization of 9002

9002 = 2 x 7 x 643

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

LCM = 80990994 = 2 x 3 x 7 x 643 x 2999

Step 4: Therefore, the least common multiple of 8997 and 9002 is 80990994.