Least Common Multiple of 4993 and 5001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4993 and 5001 the smallest integer that is 24969993 that is divisible by both numbers.

Least Common Multiple (LCM) of 4993 and 5001 is 24969993.

LCM(4993,5001) = 24969993

LCM of 4993 and 5001

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

LCM of:
and

Least Common Multiple of 4993 and 5001

LCM of 4993 and 5001 is 24969993

Least common multiple can be found by multiplying the highest exponent prime factors of 4993 and 5001. First we will calculate the prime factors of 4993 and 5001.

Prime Factorization of 4993


4993 4993
1

Prime factors of 4993 are 4993. Prime factorization of 4993 in exponential form is:

4993 = 49931

Prime Factorization of 5001


3 5001
1667 1667
1

Prime factors of 5001 are 3,1667. Prime factorization of 5001 in exponential form is:

5001 = 31×16671

Now multiplying the highest exponent prime factors to calculate the LCM of 4993 and 5001.

LCM(4993,5001) = 31×16671×49931
LCM(4993,5001) = 24969993

Factors of 4993

List of positive integer factors of 4993 that divides 4993 without a remainder.

1, 4993

Factors of 5001

List of positive integer factors of 5001 that divides 5001 without a remainder.

1, 3, 1667, 5001

Least Common Multiple of 4993 and 5001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4993 and 5001, than apply into the LCM equation.

GCF(4993,5001) = 1
LCM(4993,5001) = ( 4993 × 5001) / 1
LCM(4993,5001) = 24969993 / 1
LCM(4993,5001) = 24969993

Properties of LCM 4993 and 5001

(i) The LCM of 5001 and 4993 is associative

LCM of 4993 and 5001 = LCM of 5001 and 4993

Related Least Common Multiples of 4993

Related Least Common Multiples of 5001

Frequently Asked Questions on LCM of 4993 and 5001

1. What is the LCM of 4993 and 5001?

Answer: LCM of 4993 and 5001 is 24969993.

2. What are the Factors of 4993?

Answer: Factors of 4993 are 1, 4993. There are 2 integers that are factors of 4993. The greatest factor of 4993 is 4993.

3. What are the Factors of 5001?

Answer: Factors of 5001 are 1, 3, 1667, 5001. There are 4 integers that are factors of 5001. The greatest factor of 5001 is 5001.

4. How to Find the LCM of 4993 and 5001?

Answer:

Least Common Multiple of 4993 and 5001 = 24969993

Step 1: Find the prime factorization of 4993

4993 = 4993

Step 2: Find the prime factorization of 5001

5001 = 3 x 1667

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

LCM = 24969993 = 3 x 1667 x 4993

Step 4: Therefore, the least common multiple of 4993 and 5001 is 24969993.