Least Common Multiple of 5003 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 5003 and 5011 the smallest integer that is 25070033 that is divisible by both numbers.

Least Common Multiple (LCM) of 5003 and 5011 is 25070033.

LCM(5003,5011) = 25070033

LCM of 5003 and 5011

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

LCM of:
and

Least Common Multiple of 5003 and 5011

LCM of 5003 and 5011 is 25070033

Least common multiple can be found by multiplying the highest exponent prime factors of 5003 and 5011. First we will calculate the prime factors of 5003 and 5011.

Prime Factorization of 5003


5003 5003
1

Prime factors of 5003 are 5003. Prime factorization of 5003 in exponential form is:

5003 = 50031

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 5003 and 5011.

LCM(5003,5011) = 50031×50111
LCM(5003,5011) = 25070033

Factors of 5003

List of positive integer factors of 5003 that divides 5003 without a remainder.

1, 5003

Factors of 5011

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

1, 5011

Least Common Multiple of 5003 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 5003 and 5011, than apply into the LCM equation.

GCF(5003,5011) = 1
LCM(5003,5011) = ( 5003 × 5011) / 1
LCM(5003,5011) = 25070033 / 1
LCM(5003,5011) = 25070033

Properties of LCM 5003 and 5011

(i) The LCM of 5011 and 5003 is associative

LCM of 5003 and 5011 = LCM of 5011 and 5003

Related Least Common Multiples of 5003

Related Least Common Multiples of 5011

Frequently Asked Questions on LCM of 5003 and 5011

1. What is the LCM of 5003 and 5011?

Answer: LCM of 5003 and 5011 is 25070033.

2. What are the Factors of 5003?

Answer: Factors of 5003 are 1, 5003. There are 2 integers that are factors of 5003. The greatest factor of 5003 is 5003.

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 5003 and 5011?

Answer:

Least Common Multiple of 5003 and 5011 = 25070033

Step 1: Find the prime factorization of 5003

5003 = 5003

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 = 25070033 = 5003 x 5011

Step 4: Therefore, the least common multiple of 5003 and 5011 is 25070033.