Least Common Multiple of 8989 and 8997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8989 and 8997 the smallest integer that is 80874033 that is divisible by both numbers.

Least Common Multiple (LCM) of 8989 and 8997 is 80874033.

LCM(8989,8997) = 80874033

LCM of 8989 and 8997

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

LCM of:
and

Least Common Multiple of 8989 and 8997

LCM of 8989 and 8997 is 80874033

Least common multiple can be found by multiplying the highest exponent prime factors of 8989 and 8997. First we will calculate the prime factors of 8989 and 8997.

Prime Factorization of 8989


89 8989
101 101
1

Prime factors of 8989 are 89,101. Prime factorization of 8989 in exponential form is:

8989 = 891×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8989 and 8997.

LCM(8989,8997) = 31×891×1011×29991
LCM(8989,8997) = 80874033

Factors of 8989

List of positive integer factors of 8989 that divides 8989 without a remainder.

1, 89, 101, 8989

Factors of 8997

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

1, 3, 2999, 8997

Least Common Multiple of 8989 and 8997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8989 and 8997, than apply into the LCM equation.

GCF(8989,8997) = 1
LCM(8989,8997) = ( 8989 × 8997) / 1
LCM(8989,8997) = 80874033 / 1
LCM(8989,8997) = 80874033

Properties of LCM 8989 and 8997

(i) The LCM of 8997 and 8989 is associative

LCM of 8989 and 8997 = LCM of 8997 and 8989

Related Least Common Multiples of 8989

Related Least Common Multiples of 8997

Frequently Asked Questions on LCM of 8989 and 8997

1. What is the LCM of 8989 and 8997?

Answer: LCM of 8989 and 8997 is 80874033.

2. What are the Factors of 8989?

Answer: Factors of 8989 are 1, 89, 101, 8989. There are 4 integers that are factors of 8989. The greatest factor of 8989 is 8989.

3. 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.

4. How to Find the LCM of 8989 and 8997?

Answer:

Least Common Multiple of 8989 and 8997 = 80874033

Step 1: Find the prime factorization of 8989

8989 = 89 x 101

Step 2: Find the prime factorization of 8997

8997 = 3 x 2999

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

LCM = 80874033 = 3 x 89 x 101 x 2999

Step 4: Therefore, the least common multiple of 8989 and 8997 is 80874033.