Least Common Multiple of 5004 and 5011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5004 and 5011 the smallest integer that is 25075044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5004 and 5011 is 25075044.

LCM(5004,5011) = 25075044

LCM of 5004 and 5011

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

LCM of:
and

Least Common Multiple of 5004 and 5011

LCM of 5004 and 5011 is 25075044

Least common multiple can be found by multiplying the highest exponent prime factors of 5004 and 5011. First we will calculate the prime factors of 5004 and 5011.

Prime Factorization of 5004


2 5004
2 2502
3 1251
3 417
139 139
1

Prime factors of 5004 are 2, 3,139. Prime factorization of 5004 in exponential form is:

5004 = 22×32×1391

Prime Factorization of 5011


5011 5011
1

Prime factors of 5011 are 5011. Prime factorization of 5011 in exponential form is:

5011 = 50111

Now multiplying the highest exponent prime factors to calculate the LCM of 5004 and 5011.

LCM(5004,5011) = 22×32×1391×50111
LCM(5004,5011) = 25075044

Factors of 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004

Factors of 5011

List of positive integer factors of 5011 that divides 5011 without a remainder.

1, 5011

Least Common Multiple of 5004 and 5011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5004 and 5011, than apply into the LCM equation.

GCF(5004,5011) = 1
LCM(5004,5011) = ( 5004 × 5011) / 1
LCM(5004,5011) = 25075044 / 1
LCM(5004,5011) = 25075044

Properties of LCM 5004 and 5011

(i) The LCM of 5011 and 5004 is associative

LCM of 5004 and 5011 = LCM of 5011 and 5004

Related Least Common Multiples of 5004

Related Least Common Multiples of 5011

Frequently Asked Questions on LCM of 5004 and 5011

1. What is the LCM of 5004 and 5011?

Answer: LCM of 5004 and 5011 is 25075044.

2. What are the Factors of 5004?

Answer: Factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. There are 18 integers that are factors of 5004. The greatest factor of 5004 is 5004.

3. What are the Factors of 5011?

Answer: Factors of 5011 are 1, 5011. There are 2 integers that are factors of 5011. The greatest factor of 5011 is 5011.

4. How to Find the LCM of 5004 and 5011?

Answer:

Least Common Multiple of 5004 and 5011 = 25075044

Step 1: Find the prime factorization of 5004

5004 = 2 x 2 x 3 x 3 x 139

Step 2: Find the prime factorization of 5011

5011 = 5011

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

LCM = 25075044 = 2 x 2 x 3 x 3 x 139 x 5011

Step 4: Therefore, the least common multiple of 5004 and 5011 is 25075044.