Least Common Multiple of 8983 and 8987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8983 and 8987 the smallest integer that is 80730221 that is divisible by both numbers.

Least Common Multiple (LCM) of 8983 and 8987 is 80730221.

LCM(8983,8987) = 80730221

LCM of 8983 and 8987

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

LCM of:
and

Least Common Multiple of 8983 and 8987

LCM of 8983 and 8987 is 80730221

Least common multiple can be found by multiplying the highest exponent prime factors of 8983 and 8987. First we will calculate the prime factors of 8983 and 8987.

Prime Factorization of 8983


13 8983
691 691
1

Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:

8983 = 131×6911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8983 and 8987.

LCM(8983,8987) = 111×131×191×431×6911
LCM(8983,8987) = 80730221

Factors of 8983

List of positive integer factors of 8983 that divides 8983 without a remainder.

1, 13, 691, 8983

Factors of 8987

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

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

Least Common Multiple of 8983 and 8987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8983 and 8987, than apply into the LCM equation.

GCF(8983,8987) = 1
LCM(8983,8987) = ( 8983 × 8987) / 1
LCM(8983,8987) = 80730221 / 1
LCM(8983,8987) = 80730221

Properties of LCM 8983 and 8987

(i) The LCM of 8987 and 8983 is associative

LCM of 8983 and 8987 = LCM of 8987 and 8983

Related Least Common Multiples of 8983

Related Least Common Multiples of 8987

Frequently Asked Questions on LCM of 8983 and 8987

1. What is the LCM of 8983 and 8987?

Answer: LCM of 8983 and 8987 is 80730221.

2. What are the Factors of 8983?

Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.

3. 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.

4. How to Find the LCM of 8983 and 8987?

Answer:

Least Common Multiple of 8983 and 8987 = 80730221

Step 1: Find the prime factorization of 8983

8983 = 13 x 691

Step 2: Find the prime factorization of 8987

8987 = 11 x 19 x 43

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

LCM = 80730221 = 11 x 13 x 19 x 43 x 691

Step 4: Therefore, the least common multiple of 8983 and 8987 is 80730221.