Least Common Multiple of 4999 and 5005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4999 and 5005 the smallest integer that is 25019995 that is divisible by both numbers.

Least Common Multiple (LCM) of 4999 and 5005 is 25019995.

LCM(4999,5005) = 25019995

LCM of 4999 and 5005

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

LCM of:
and

Least Common Multiple of 4999 and 5005

LCM of 4999 and 5005 is 25019995

Least common multiple can be found by multiplying the highest exponent prime factors of 4999 and 5005. First we will calculate the prime factors of 4999 and 5005.

Prime Factorization of 4999


4999 4999
1

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

4999 = 49991

Prime Factorization of 5005


5 5005
7 1001
11 143
13 13
1

Prime factors of 5005 are 5, 7, 11,13. Prime factorization of 5005 in exponential form is:

5005 = 51×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4999 and 5005.

LCM(4999,5005) = 51×71×111×131×49991
LCM(4999,5005) = 25019995

Factors of 4999

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

1, 4999

Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005

Least Common Multiple of 4999 and 5005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4999 and 5005, than apply into the LCM equation.

GCF(4999,5005) = 1
LCM(4999,5005) = ( 4999 × 5005) / 1
LCM(4999,5005) = 25019995 / 1
LCM(4999,5005) = 25019995

Properties of LCM 4999 and 5005

(i) The LCM of 5005 and 4999 is associative

LCM of 4999 and 5005 = LCM of 5005 and 4999

Related Least Common Multiples of 4999

Related Least Common Multiples of 5005

Frequently Asked Questions on LCM of 4999 and 5005

1. What is the LCM of 4999 and 5005?

Answer: LCM of 4999 and 5005 is 25019995.

2. 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.

3. What are the Factors of 5005?

Answer: Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005. There are 16 integers that are factors of 5005. The greatest factor of 5005 is 5005.

4. How to Find the LCM of 4999 and 5005?

Answer:

Least Common Multiple of 4999 and 5005 = 25019995

Step 1: Find the prime factorization of 4999

4999 = 4999

Step 2: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

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

LCM = 25019995 = 5 x 7 x 11 x 13 x 4999

Step 4: Therefore, the least common multiple of 4999 and 5005 is 25019995.