Least Common Multiple of 4983 and 4989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4983 and 4989 the smallest integer that is 8286729 that is divisible by both numbers.

Least Common Multiple (LCM) of 4983 and 4989 is 8286729.

LCM(4983,4989) = 8286729

LCM of 4983 and 4989

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

LCM of:
and

Least Common Multiple of 4983 and 4989

LCM of 4983 and 4989 is 8286729

Least common multiple can be found by multiplying the highest exponent prime factors of 4983 and 4989. First we will calculate the prime factors of 4983 and 4989.

Prime Factorization of 4983


3 4983
11 1661
151 151
1

Prime factors of 4983 are 3, 11,151. Prime factorization of 4983 in exponential form is:

4983 = 31×111×1511

Prime Factorization of 4989


3 4989
1663 1663
1

Prime factors of 4989 are 3,1663. Prime factorization of 4989 in exponential form is:

4989 = 31×16631

Now multiplying the highest exponent prime factors to calculate the LCM of 4983 and 4989.

LCM(4983,4989) = 31×111×1511×16631
LCM(4983,4989) = 8286729

Factors of 4983

List of positive integer factors of 4983 that divides 4983 without a remainder.

1, 3, 11, 33, 151, 453, 1661, 4983

Factors of 4989

List of positive integer factors of 4989 that divides 4989 without a remainder.

1, 3, 1663, 4989

Least Common Multiple of 4983 and 4989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4983 and 4989, than apply into the LCM equation.

GCF(4983,4989) = 3
LCM(4983,4989) = ( 4983 × 4989) / 3
LCM(4983,4989) = 24860187 / 3
LCM(4983,4989) = 8286729

Properties of LCM 4983 and 4989

(i) The LCM of 4989 and 4983 is associative

LCM of 4983 and 4989 = LCM of 4989 and 4983

Related Least Common Multiples of 4983

Related Least Common Multiples of 4989

Frequently Asked Questions on LCM of 4983 and 4989

1. What is the LCM of 4983 and 4989?

Answer: LCM of 4983 and 4989 is 8286729.

2. What are the Factors of 4983?

Answer: Factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983. There are 8 integers that are factors of 4983. The greatest factor of 4983 is 4983.

3. What are the Factors of 4989?

Answer: Factors of 4989 are 1, 3, 1663, 4989. There are 4 integers that are factors of 4989. The greatest factor of 4989 is 4989.

4. How to Find the LCM of 4983 and 4989?

Answer:

Least Common Multiple of 4983 and 4989 = 8286729

Step 1: Find the prime factorization of 4983

4983 = 3 x 11 x 151

Step 2: Find the prime factorization of 4989

4989 = 3 x 1663

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

LCM = 8286729 = 3 x 11 x 151 x 1663

Step 4: Therefore, the least common multiple of 4983 and 4989 is 8286729.