Least Common Multiple of 8989 and 8994

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 8994 the smallest integer that is 80847066 that is divisible by both numbers.

Least Common Multiple (LCM) of 8989 and 8994 is 80847066.

LCM(8989,8994) = 80847066

LCM of 8989 and 8994

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

LCM of:
and

Least Common Multiple of 8989 and 8994

LCM of 8989 and 8994 is 80847066

Least common multiple can be found by multiplying the highest exponent prime factors of 8989 and 8994. First we will calculate the prime factors of 8989 and 8994.

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 8994


2 8994
3 4497
1499 1499
1

Prime factors of 8994 are 2, 3,1499. Prime factorization of 8994 in exponential form is:

8994 = 21×31×14991

Now multiplying the highest exponent prime factors to calculate the LCM of 8989 and 8994.

LCM(8989,8994) = 21×31×891×1011×14991
LCM(8989,8994) = 80847066

Factors of 8989

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

1, 89, 101, 8989

Factors of 8994

List of positive integer factors of 8994 that divides 8994 without a remainder.

1, 2, 3, 6, 1499, 2998, 4497, 8994

Least Common Multiple of 8989 and 8994 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 8994, than apply into the LCM equation.

GCF(8989,8994) = 1
LCM(8989,8994) = ( 8989 × 8994) / 1
LCM(8989,8994) = 80847066 / 1
LCM(8989,8994) = 80847066

Properties of LCM 8989 and 8994

(i) The LCM of 8994 and 8989 is associative

LCM of 8989 and 8994 = LCM of 8994 and 8989

Related Least Common Multiples of 8989

Related Least Common Multiples of 8994

Frequently Asked Questions on LCM of 8989 and 8994

1. What is the LCM of 8989 and 8994?

Answer: LCM of 8989 and 8994 is 80847066.

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 8994?

Answer: Factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994. There are 8 integers that are factors of 8994. The greatest factor of 8994 is 8994.

4. How to Find the LCM of 8989 and 8994?

Answer:

Least Common Multiple of 8989 and 8994 = 80847066

Step 1: Find the prime factorization of 8989

8989 = 89 x 101

Step 2: Find the prime factorization of 8994

8994 = 2 x 3 x 1499

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

LCM = 80847066 = 2 x 3 x 89 x 101 x 1499

Step 4: Therefore, the least common multiple of 8989 and 8994 is 80847066.