Least Common Multiple of 4985 and 4990

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 4990 the smallest integer that is 4975030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4985 and 4990 is 4975030.

LCM(4985,4990) = 4975030

LCM of 4985 and 4990

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

LCM of:
and

Least Common Multiple of 4985 and 4990

LCM of 4985 and 4990 is 4975030

Least common multiple can be found by multiplying the highest exponent prime factors of 4985 and 4990. First we will calculate the prime factors of 4985 and 4990.

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 4990


2 4990
5 2495
499 499
1

Prime factors of 4990 are 2, 5,499. Prime factorization of 4990 in exponential form is:

4990 = 21×51×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 4985 and 4990.

LCM(4985,4990) = 21×51×4991×9971
LCM(4985,4990) = 4975030

Factors of 4985

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

1, 5, 997, 4985

Factors of 4990

List of positive integer factors of 4990 that divides 4990 without a remainder.

1, 2, 5, 10, 499, 998, 2495, 4990

Least Common Multiple of 4985 and 4990 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 4990, than apply into the LCM equation.

GCF(4985,4990) = 5
LCM(4985,4990) = ( 4985 × 4990) / 5
LCM(4985,4990) = 24875150 / 5
LCM(4985,4990) = 4975030

Properties of LCM 4985 and 4990

(i) The LCM of 4990 and 4985 is associative

LCM of 4985 and 4990 = LCM of 4990 and 4985

Related Least Common Multiples of 4985

Related Least Common Multiples of 4990

Frequently Asked Questions on LCM of 4985 and 4990

1. What is the LCM of 4985 and 4990?

Answer: LCM of 4985 and 4990 is 4975030.

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 4990?

Answer: Factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990. There are 8 integers that are factors of 4990. The greatest factor of 4990 is 4990.

4. How to Find the LCM of 4985 and 4990?

Answer:

Least Common Multiple of 4985 and 4990 = 4975030

Step 1: Find the prime factorization of 4985

4985 = 5 x 997

Step 2: Find the prime factorization of 4990

4990 = 2 x 5 x 499

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

LCM = 4975030 = 2 x 5 x 499 x 997

Step 4: Therefore, the least common multiple of 4985 and 4990 is 4975030.