Least Common Multiple of 5007 and 5015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5007 and 5015 the smallest integer that is 25110105 that is divisible by both numbers.

Least Common Multiple (LCM) of 5007 and 5015 is 25110105.

LCM(5007,5015) = 25110105

LCM of 5007 and 5015

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

LCM of:
and

Least Common Multiple of 5007 and 5015

LCM of 5007 and 5015 is 25110105

Least common multiple can be found by multiplying the highest exponent prime factors of 5007 and 5015. First we will calculate the prime factors of 5007 and 5015.

Prime Factorization of 5007


3 5007
1669 1669
1

Prime factors of 5007 are 3,1669. Prime factorization of 5007 in exponential form is:

5007 = 31×16691

Prime Factorization of 5015


5 5015
17 1003
59 59
1

Prime factors of 5015 are 5, 17,59. Prime factorization of 5015 in exponential form is:

5015 = 51×171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5007 and 5015.

LCM(5007,5015) = 31×51×171×591×16691
LCM(5007,5015) = 25110105

Factors of 5007

List of positive integer factors of 5007 that divides 5007 without a remainder.

1, 3, 1669, 5007

Factors of 5015

List of positive integer factors of 5015 that divides 5015 without a remainder.

1, 5, 17, 59, 85, 295, 1003, 5015

Least Common Multiple of 5007 and 5015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5007 and 5015, than apply into the LCM equation.

GCF(5007,5015) = 1
LCM(5007,5015) = ( 5007 × 5015) / 1
LCM(5007,5015) = 25110105 / 1
LCM(5007,5015) = 25110105

Properties of LCM 5007 and 5015

(i) The LCM of 5015 and 5007 is associative

LCM of 5007 and 5015 = LCM of 5015 and 5007

Related Least Common Multiples of 5007

Related Least Common Multiples of 5015

Frequently Asked Questions on LCM of 5007 and 5015

1. What is the LCM of 5007 and 5015?

Answer: LCM of 5007 and 5015 is 25110105.

2. What are the Factors of 5007?

Answer: Factors of 5007 are 1, 3, 1669, 5007. There are 4 integers that are factors of 5007. The greatest factor of 5007 is 5007.

3. What are the Factors of 5015?

Answer: Factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015. There are 8 integers that are factors of 5015. The greatest factor of 5015 is 5015.

4. How to Find the LCM of 5007 and 5015?

Answer:

Least Common Multiple of 5007 and 5015 = 25110105

Step 1: Find the prime factorization of 5007

5007 = 3 x 1669

Step 2: Find the prime factorization of 5015

5015 = 5 x 17 x 59

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

LCM = 25110105 = 3 x 5 x 17 x 59 x 1669

Step 4: Therefore, the least common multiple of 5007 and 5015 is 25110105.