Least Common Multiple of 5023 and 5027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5023 and 5027 the smallest integer that is 25250621 that is divisible by both numbers.

Least Common Multiple (LCM) of 5023 and 5027 is 25250621.

LCM(5023,5027) = 25250621

LCM of 5023 and 5027

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

LCM of:
and

Least Common Multiple of 5023 and 5027

LCM of 5023 and 5027 is 25250621

Least common multiple can be found by multiplying the highest exponent prime factors of 5023 and 5027. First we will calculate the prime factors of 5023 and 5027.

Prime Factorization of 5023


5023 5023
1

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

5023 = 50231

Prime Factorization of 5027


11 5027
457 457
1

Prime factors of 5027 are 11,457. Prime factorization of 5027 in exponential form is:

5027 = 111×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 5023 and 5027.

LCM(5023,5027) = 111×4571×50231
LCM(5023,5027) = 25250621

Factors of 5023

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

1, 5023

Factors of 5027

List of positive integer factors of 5027 that divides 5027 without a remainder.

1, 11, 457, 5027

Least Common Multiple of 5023 and 5027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5023 and 5027, than apply into the LCM equation.

GCF(5023,5027) = 1
LCM(5023,5027) = ( 5023 × 5027) / 1
LCM(5023,5027) = 25250621 / 1
LCM(5023,5027) = 25250621

Properties of LCM 5023 and 5027

(i) The LCM of 5027 and 5023 is associative

LCM of 5023 and 5027 = LCM of 5027 and 5023

Related Least Common Multiples of 5023

Related Least Common Multiples of 5027

Frequently Asked Questions on LCM of 5023 and 5027

1. What is the LCM of 5023 and 5027?

Answer: LCM of 5023 and 5027 is 25250621.

2. 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.

3. What are the Factors of 5027?

Answer: Factors of 5027 are 1, 11, 457, 5027. There are 4 integers that are factors of 5027. The greatest factor of 5027 is 5027.

4. How to Find the LCM of 5023 and 5027?

Answer:

Least Common Multiple of 5023 and 5027 = 25250621

Step 1: Find the prime factorization of 5023

5023 = 5023

Step 2: Find the prime factorization of 5027

5027 = 11 x 457

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

LCM = 25250621 = 11 x 457 x 5023

Step 4: Therefore, the least common multiple of 5023 and 5027 is 25250621.