Least Common Multiple of 4993 and 4999

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 4999 the smallest integer that is 24960007 that is divisible by both numbers.

Least Common Multiple (LCM) of 4993 and 4999 is 24960007.

LCM(4993,4999) = 24960007

LCM of 4993 and 4999

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

LCM of:
and

Least Common Multiple of 4993 and 4999

LCM of 4993 and 4999 is 24960007

Least common multiple can be found by multiplying the highest exponent prime factors of 4993 and 4999. First we will calculate the prime factors of 4993 and 4999.

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 4999


4999 4999
1

Prime factors of 4999 are 4999. Prime factorization of 4999 in exponential form is:

4999 = 49991

Now multiplying the highest exponent prime factors to calculate the LCM of 4993 and 4999.

LCM(4993,4999) = 49931×49991
LCM(4993,4999) = 24960007

Factors of 4993

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

1, 4993

Factors of 4999

List of positive integer factors of 4999 that divides 4999 without a remainder.

1, 4999

Least Common Multiple of 4993 and 4999 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 4999, than apply into the LCM equation.

GCF(4993,4999) = 1
LCM(4993,4999) = ( 4993 × 4999) / 1
LCM(4993,4999) = 24960007 / 1
LCM(4993,4999) = 24960007

Properties of LCM 4993 and 4999

(i) The LCM of 4999 and 4993 is associative

LCM of 4993 and 4999 = LCM of 4999 and 4993

Related Least Common Multiples of 4993

Related Least Common Multiples of 4999

Frequently Asked Questions on LCM of 4993 and 4999

1. What is the LCM of 4993 and 4999?

Answer: LCM of 4993 and 4999 is 24960007.

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 4999?

Answer: Factors of 4999 are 1, 4999. There are 2 integers that are factors of 4999. The greatest factor of 4999 is 4999.

4. How to Find the LCM of 4993 and 4999?

Answer:

Least Common Multiple of 4993 and 4999 = 24960007

Step 1: Find the prime factorization of 4993

4993 = 4993

Step 2: Find the prime factorization of 4999

4999 = 4999

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

LCM = 24960007 = 4993 x 4999

Step 4: Therefore, the least common multiple of 4993 and 4999 is 24960007.