Least Common Multiple of 5014 and 5021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5014 and 5021 the smallest integer that is 25175294 that is divisible by both numbers.

Least Common Multiple (LCM) of 5014 and 5021 is 25175294.

LCM(5014,5021) = 25175294

LCM of 5014 and 5021

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

LCM of:
and

Least Common Multiple of 5014 and 5021

LCM of 5014 and 5021 is 25175294

Least common multiple can be found by multiplying the highest exponent prime factors of 5014 and 5021. First we will calculate the prime factors of 5014 and 5021.

Prime Factorization of 5014


2 5014
23 2507
109 109
1

Prime factors of 5014 are 2, 23,109. Prime factorization of 5014 in exponential form is:

5014 = 21×231×1091

Prime Factorization of 5021


5021 5021
1

Prime factors of 5021 are 5021. Prime factorization of 5021 in exponential form is:

5021 = 50211

Now multiplying the highest exponent prime factors to calculate the LCM of 5014 and 5021.

LCM(5014,5021) = 21×231×1091×50211
LCM(5014,5021) = 25175294

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1, 2, 23, 46, 109, 218, 2507, 5014

Factors of 5021

List of positive integer factors of 5021 that divides 5021 without a remainder.

1, 5021

Least Common Multiple of 5014 and 5021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5014 and 5021, than apply into the LCM equation.

GCF(5014,5021) = 1
LCM(5014,5021) = ( 5014 × 5021) / 1
LCM(5014,5021) = 25175294 / 1
LCM(5014,5021) = 25175294

Properties of LCM 5014 and 5021

(i) The LCM of 5021 and 5014 is associative

LCM of 5014 and 5021 = LCM of 5021 and 5014

Related Least Common Multiples of 5014

Related Least Common Multiples of 5021

Frequently Asked Questions on LCM of 5014 and 5021

1. What is the LCM of 5014 and 5021?

Answer: LCM of 5014 and 5021 is 25175294.

2. What are the Factors of 5014?

Answer: Factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014. There are 8 integers that are factors of 5014. The greatest factor of 5014 is 5014.

3. What are the Factors of 5021?

Answer: Factors of 5021 are 1, 5021. There are 2 integers that are factors of 5021. The greatest factor of 5021 is 5021.

4. How to Find the LCM of 5014 and 5021?

Answer:

Least Common Multiple of 5014 and 5021 = 25175294

Step 1: Find the prime factorization of 5014

5014 = 2 x 23 x 109

Step 2: Find the prime factorization of 5021

5021 = 5021

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

LCM = 25175294 = 2 x 23 x 109 x 5021

Step 4: Therefore, the least common multiple of 5014 and 5021 is 25175294.