Least Common Multiple of 5011 and 5017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5011 and 5017 the smallest integer that is 25140187 that is divisible by both numbers.

Least Common Multiple (LCM) of 5011 and 5017 is 25140187.

LCM(5011,5017) = 25140187

LCM of 5011 and 5017

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

LCM of:
and

Least Common Multiple of 5011 and 5017

LCM of 5011 and 5017 is 25140187

Least common multiple can be found by multiplying the highest exponent prime factors of 5011 and 5017. First we will calculate the prime factors of 5011 and 5017.

Prime Factorization of 5011


5011 5011
1

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

5011 = 50111

Prime Factorization of 5017


29 5017
173 173
1

Prime factors of 5017 are 29,173. Prime factorization of 5017 in exponential form is:

5017 = 291×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5011 and 5017.

LCM(5011,5017) = 291×1731×50111
LCM(5011,5017) = 25140187

Factors of 5011

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

1, 5011

Factors of 5017

List of positive integer factors of 5017 that divides 5017 without a remainder.

1, 29, 173, 5017

Least Common Multiple of 5011 and 5017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5011 and 5017, than apply into the LCM equation.

GCF(5011,5017) = 1
LCM(5011,5017) = ( 5011 × 5017) / 1
LCM(5011,5017) = 25140187 / 1
LCM(5011,5017) = 25140187

Properties of LCM 5011 and 5017

(i) The LCM of 5017 and 5011 is associative

LCM of 5011 and 5017 = LCM of 5017 and 5011

Related Least Common Multiples of 5011

Related Least Common Multiples of 5017

Frequently Asked Questions on LCM of 5011 and 5017

1. What is the LCM of 5011 and 5017?

Answer: LCM of 5011 and 5017 is 25140187.

2. 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.

3. What are the Factors of 5017?

Answer: Factors of 5017 are 1, 29, 173, 5017. There are 4 integers that are factors of 5017. The greatest factor of 5017 is 5017.

4. How to Find the LCM of 5011 and 5017?

Answer:

Least Common Multiple of 5011 and 5017 = 25140187

Step 1: Find the prime factorization of 5011

5011 = 5011

Step 2: Find the prime factorization of 5017

5017 = 29 x 173

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

LCM = 25140187 = 29 x 173 x 5011

Step 4: Therefore, the least common multiple of 5011 and 5017 is 25140187.