Least Common Multiple of 5023 and 5029

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 5029 the smallest integer that is 25260667 that is divisible by both numbers.

Least Common Multiple (LCM) of 5023 and 5029 is 25260667.

LCM(5023,5029) = 25260667

LCM of 5023 and 5029

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

LCM of:
and

Least Common Multiple of 5023 and 5029

LCM of 5023 and 5029 is 25260667

Least common multiple can be found by multiplying the highest exponent prime factors of 5023 and 5029. First we will calculate the prime factors of 5023 and 5029.

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 5029


47 5029
107 107
1

Prime factors of 5029 are 47,107. Prime factorization of 5029 in exponential form is:

5029 = 471×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5023 and 5029.

LCM(5023,5029) = 471×1071×50231
LCM(5023,5029) = 25260667

Factors of 5023

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

1, 5023

Factors of 5029

List of positive integer factors of 5029 that divides 5029 without a remainder.

1, 47, 107, 5029

Least Common Multiple of 5023 and 5029 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 5029, than apply into the LCM equation.

GCF(5023,5029) = 1
LCM(5023,5029) = ( 5023 × 5029) / 1
LCM(5023,5029) = 25260667 / 1
LCM(5023,5029) = 25260667

Properties of LCM 5023 and 5029

(i) The LCM of 5029 and 5023 is associative

LCM of 5023 and 5029 = LCM of 5029 and 5023

Related Least Common Multiples of 5023

Related Least Common Multiples of 5029

Frequently Asked Questions on LCM of 5023 and 5029

1. What is the LCM of 5023 and 5029?

Answer: LCM of 5023 and 5029 is 25260667.

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 5029?

Answer: Factors of 5029 are 1, 47, 107, 5029. There are 4 integers that are factors of 5029. The greatest factor of 5029 is 5029.

4. How to Find the LCM of 5023 and 5029?

Answer:

Least Common Multiple of 5023 and 5029 = 25260667

Step 1: Find the prime factorization of 5023

5023 = 5023

Step 2: Find the prime factorization of 5029

5029 = 47 x 107

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

LCM = 25260667 = 47 x 107 x 5023

Step 4: Therefore, the least common multiple of 5023 and 5029 is 25260667.