Least Common Multiple of 4999 and 5002

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 5002 the smallest integer that is 25004998 that is divisible by both numbers.

Least Common Multiple (LCM) of 4999 and 5002 is 25004998.

LCM(4999,5002) = 25004998

LCM of 4999 and 5002

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

LCM of:
and

Least Common Multiple of 4999 and 5002

LCM of 4999 and 5002 is 25004998

Least common multiple can be found by multiplying the highest exponent prime factors of 4999 and 5002. First we will calculate the prime factors of 4999 and 5002.

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 5002


2 5002
41 2501
61 61
1

Prime factors of 5002 are 2, 41,61. Prime factorization of 5002 in exponential form is:

5002 = 21×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4999 and 5002.

LCM(4999,5002) = 21×411×611×49991
LCM(4999,5002) = 25004998

Factors of 4999

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

1, 4999

Factors of 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1, 2, 41, 61, 82, 122, 2501, 5002

Least Common Multiple of 4999 and 5002 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 5002, than apply into the LCM equation.

GCF(4999,5002) = 1
LCM(4999,5002) = ( 4999 × 5002) / 1
LCM(4999,5002) = 25004998 / 1
LCM(4999,5002) = 25004998

Properties of LCM 4999 and 5002

(i) The LCM of 5002 and 4999 is associative

LCM of 4999 and 5002 = LCM of 5002 and 4999

Related Least Common Multiples of 4999

Related Least Common Multiples of 5002

Frequently Asked Questions on LCM of 4999 and 5002

1. What is the LCM of 4999 and 5002?

Answer: LCM of 4999 and 5002 is 25004998.

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 5002?

Answer: Factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002. There are 8 integers that are factors of 5002. The greatest factor of 5002 is 5002.

4. How to Find the LCM of 4999 and 5002?

Answer:

Least Common Multiple of 4999 and 5002 = 25004998

Step 1: Find the prime factorization of 4999

4999 = 4999

Step 2: Find the prime factorization of 5002

5002 = 2 x 41 x 61

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

LCM = 25004998 = 2 x 41 x 61 x 4999

Step 4: Therefore, the least common multiple of 4999 and 5002 is 25004998.