Least Common Multiple of 4994 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 4994 and 4999 the smallest integer that is 24965006 that is divisible by both numbers.

Least Common Multiple (LCM) of 4994 and 4999 is 24965006.

LCM(4994,4999) = 24965006

LCM of 4994 and 4999

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

LCM of:
and

Least Common Multiple of 4994 and 4999

LCM of 4994 and 4999 is 24965006

Least common multiple can be found by multiplying the highest exponent prime factors of 4994 and 4999. First we will calculate the prime factors of 4994 and 4999.

Prime Factorization of 4994


2 4994
11 2497
227 227
1

Prime factors of 4994 are 2, 11,227. Prime factorization of 4994 in exponential form is:

4994 = 21×111×2271

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 4994 and 4999.

LCM(4994,4999) = 21×111×2271×49991
LCM(4994,4999) = 24965006

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1, 2, 11, 22, 227, 454, 2497, 4994

Factors of 4999

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

1, 4999

Least Common Multiple of 4994 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 4994 and 4999, than apply into the LCM equation.

GCF(4994,4999) = 1
LCM(4994,4999) = ( 4994 × 4999) / 1
LCM(4994,4999) = 24965006 / 1
LCM(4994,4999) = 24965006

Properties of LCM 4994 and 4999

(i) The LCM of 4999 and 4994 is associative

LCM of 4994 and 4999 = LCM of 4999 and 4994

Related Least Common Multiples of 4994

Related Least Common Multiples of 4999

Frequently Asked Questions on LCM of 4994 and 4999

1. What is the LCM of 4994 and 4999?

Answer: LCM of 4994 and 4999 is 24965006.

2. What are the Factors of 4994?

Answer: Factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994. There are 8 integers that are factors of 4994. The greatest factor of 4994 is 4994.

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 4994 and 4999?

Answer:

Least Common Multiple of 4994 and 4999 = 24965006

Step 1: Find the prime factorization of 4994

4994 = 2 x 11 x 227

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 = 24965006 = 2 x 11 x 227 x 4999

Step 4: Therefore, the least common multiple of 4994 and 4999 is 24965006.