Least Common Multiple of 8987 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 8987 and 8994 the smallest integer that is 80829078 that is divisible by both numbers.

Least Common Multiple (LCM) of 8987 and 8994 is 80829078.

LCM(8987,8994) = 80829078

LCM of 8987 and 8994

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

LCM of:
and

Least Common Multiple of 8987 and 8994

LCM of 8987 and 8994 is 80829078

Least common multiple can be found by multiplying the highest exponent prime factors of 8987 and 8994. First we will calculate the prime factors of 8987 and 8994.

Prime Factorization of 8987


11 8987
19 817
43 43
1

Prime factors of 8987 are 11, 19,43. Prime factorization of 8987 in exponential form is:

8987 = 111×191×431

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 8987 and 8994.

LCM(8987,8994) = 21×31×111×191×431×14991
LCM(8987,8994) = 80829078

Factors of 8987

List of positive integer factors of 8987 that divides 8987 without a remainder.

1, 11, 19, 43, 209, 473, 817, 8987

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 8987 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 8987 and 8994, than apply into the LCM equation.

GCF(8987,8994) = 1
LCM(8987,8994) = ( 8987 × 8994) / 1
LCM(8987,8994) = 80829078 / 1
LCM(8987,8994) = 80829078

Properties of LCM 8987 and 8994

(i) The LCM of 8994 and 8987 is associative

LCM of 8987 and 8994 = LCM of 8994 and 8987

Related Least Common Multiples of 8987

Related Least Common Multiples of 8994

Frequently Asked Questions on LCM of 8987 and 8994

1. What is the LCM of 8987 and 8994?

Answer: LCM of 8987 and 8994 is 80829078.

2. What are the Factors of 8987?

Answer: Factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987. There are 8 integers that are factors of 8987. The greatest factor of 8987 is 8987.

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 8987 and 8994?

Answer:

Least Common Multiple of 8987 and 8994 = 80829078

Step 1: Find the prime factorization of 8987

8987 = 11 x 19 x 43

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 = 80829078 = 2 x 3 x 11 x 19 x 43 x 1499

Step 4: Therefore, the least common multiple of 8987 and 8994 is 80829078.