Least Common Multiple of 4985 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 4985 and 4989 the smallest integer that is 24870165 that is divisible by both numbers.

Least Common Multiple (LCM) of 4985 and 4989 is 24870165.

LCM(4985,4989) = 24870165

LCM of 4985 and 4989

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

LCM of:
and

Least Common Multiple of 4985 and 4989

LCM of 4985 and 4989 is 24870165

Least common multiple can be found by multiplying the highest exponent prime factors of 4985 and 4989. First we will calculate the prime factors of 4985 and 4989.

Prime Factorization of 4985


5 4985
997 997
1

Prime factors of 4985 are 5,997. Prime factorization of 4985 in exponential form is:

4985 = 51×9971

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 4985 and 4989.

LCM(4985,4989) = 31×51×9971×16631
LCM(4985,4989) = 24870165

Factors of 4985

List of positive integer factors of 4985 that divides 4985 without a remainder.

1, 5, 997, 4985

Factors of 4989

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

1, 3, 1663, 4989

Least Common Multiple of 4985 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 4985 and 4989, than apply into the LCM equation.

GCF(4985,4989) = 1
LCM(4985,4989) = ( 4985 × 4989) / 1
LCM(4985,4989) = 24870165 / 1
LCM(4985,4989) = 24870165

Properties of LCM 4985 and 4989

(i) The LCM of 4989 and 4985 is associative

LCM of 4985 and 4989 = LCM of 4989 and 4985

Related Least Common Multiples of 4985

Related Least Common Multiples of 4989

Frequently Asked Questions on LCM of 4985 and 4989

1. What is the LCM of 4985 and 4989?

Answer: LCM of 4985 and 4989 is 24870165.

2. What are the Factors of 4985?

Answer: Factors of 4985 are 1, 5, 997, 4985. There are 4 integers that are factors of 4985. The greatest factor of 4985 is 4985.

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 4985 and 4989?

Answer:

Least Common Multiple of 4985 and 4989 = 24870165

Step 1: Find the prime factorization of 4985

4985 = 5 x 997

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 = 24870165 = 3 x 5 x 997 x 1663

Step 4: Therefore, the least common multiple of 4985 and 4989 is 24870165.