Least Common Multiple of 5010 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 5010 and 5015 the smallest integer that is 5025030 that is divisible by both numbers.

Least Common Multiple (LCM) of 5010 and 5015 is 5025030.

LCM(5010,5015) = 5025030

LCM of 5010 and 5015

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

LCM of:
and

Least Common Multiple of 5010 and 5015

LCM of 5010 and 5015 is 5025030

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5015. First we will calculate the prime factors of 5010 and 5015.

Prime Factorization of 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2, 3, 5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

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 5010 and 5015.

LCM(5010,5015) = 21×31×51×171×591×1671
LCM(5010,5015) = 5025030

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010

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 5010 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 5010 and 5015, than apply into the LCM equation.

GCF(5010,5015) = 5
LCM(5010,5015) = ( 5010 × 5015) / 5
LCM(5010,5015) = 25125150 / 5
LCM(5010,5015) = 5025030

Properties of LCM 5010 and 5015

(i) The LCM of 5015 and 5010 is associative

LCM of 5010 and 5015 = LCM of 5015 and 5010

Related Least Common Multiples of 5010

Related Least Common Multiples of 5015

Frequently Asked Questions on LCM of 5010 and 5015

1. What is the LCM of 5010 and 5015?

Answer: LCM of 5010 and 5015 is 5025030.

2. What are the Factors of 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

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 5010 and 5015?

Answer:

Least Common Multiple of 5010 and 5015 = 5025030

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

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 = 5025030 = 2 x 3 x 5 x 17 x 59 x 167

Step 4: Therefore, the least common multiple of 5010 and 5015 is 5025030.