Least Common Multiple of 5015 and 5023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5015 and 5023 the smallest integer that is 25190345 that is divisible by both numbers.

Least Common Multiple (LCM) of 5015 and 5023 is 25190345.

LCM(5015,5023) = 25190345

LCM of 5015 and 5023

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

LCM of:
and

Least Common Multiple of 5015 and 5023

LCM of 5015 and 5023 is 25190345

Least common multiple can be found by multiplying the highest exponent prime factors of 5015 and 5023. First we will calculate the prime factors of 5015 and 5023.

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

Prime Factorization of 5023


5023 5023
1

Prime factors of 5023 are 5023. Prime factorization of 5023 in exponential form is:

5023 = 50231

Now multiplying the highest exponent prime factors to calculate the LCM of 5015 and 5023.

LCM(5015,5023) = 51×171×591×50231
LCM(5015,5023) = 25190345

Factors of 5015

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

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

Factors of 5023

List of positive integer factors of 5023 that divides 5023 without a remainder.

1, 5023

Least Common Multiple of 5015 and 5023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5015 and 5023, than apply into the LCM equation.

GCF(5015,5023) = 1
LCM(5015,5023) = ( 5015 × 5023) / 1
LCM(5015,5023) = 25190345 / 1
LCM(5015,5023) = 25190345

Properties of LCM 5015 and 5023

(i) The LCM of 5023 and 5015 is associative

LCM of 5015 and 5023 = LCM of 5023 and 5015

Related Least Common Multiples of 5015

Related Least Common Multiples of 5023

Frequently Asked Questions on LCM of 5015 and 5023

1. What is the LCM of 5015 and 5023?

Answer: LCM of 5015 and 5023 is 25190345.

2. 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.

3. What are the Factors of 5023?

Answer: Factors of 5023 are 1, 5023. There are 2 integers that are factors of 5023. The greatest factor of 5023 is 5023.

4. How to Find the LCM of 5015 and 5023?

Answer:

Least Common Multiple of 5015 and 5023 = 25190345

Step 1: Find the prime factorization of 5015

5015 = 5 x 17 x 59

Step 2: Find the prime factorization of 5023

5023 = 5023

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

LCM = 25190345 = 5 x 17 x 59 x 5023

Step 4: Therefore, the least common multiple of 5015 and 5023 is 25190345.