Least Common Multiple of 5041 and 5047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5041 and 5047 the smallest integer that is 25441927 that is divisible by both numbers.

Least Common Multiple (LCM) of 5041 and 5047 is 25441927.

LCM(5041,5047) = 25441927

LCM of 5041 and 5047

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

LCM of:
and

Least Common Multiple of 5041 and 5047

LCM of 5041 and 5047 is 25441927

Least common multiple can be found by multiplying the highest exponent prime factors of 5041 and 5047. First we will calculate the prime factors of 5041 and 5047.

Prime Factorization of 5041


71 5041
71 71
1

Prime factors of 5041 are 71. Prime factorization of 5041 in exponential form is:

5041 = 712

Prime Factorization of 5047


7 5047
7 721
103 103
1

Prime factors of 5047 are 7,103. Prime factorization of 5047 in exponential form is:

5047 = 72×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5041 and 5047.

LCM(5041,5047) = 72×712×1031
LCM(5041,5047) = 25441927

Factors of 5041

List of positive integer factors of 5041 that divides 5041 without a remainder.

1, 71, 5041

Factors of 5047

List of positive integer factors of 5047 that divides 5047 without a remainder.

1, 7, 49, 103, 721, 5047

Least Common Multiple of 5041 and 5047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5041 and 5047, than apply into the LCM equation.

GCF(5041,5047) = 1
LCM(5041,5047) = ( 5041 × 5047) / 1
LCM(5041,5047) = 25441927 / 1
LCM(5041,5047) = 25441927

Properties of LCM 5041 and 5047

(i) The LCM of 5047 and 5041 is associative

LCM of 5041 and 5047 = LCM of 5047 and 5041

Related Least Common Multiples of 5041

Related Least Common Multiples of 5047

Frequently Asked Questions on LCM of 5041 and 5047

1. What is the LCM of 5041 and 5047?

Answer: LCM of 5041 and 5047 is 25441927.

2. What are the Factors of 5041?

Answer: Factors of 5041 are 1, 71, 5041. There are 3 integers that are factors of 5041. The greatest factor of 5041 is 5041.

3. What are the Factors of 5047?

Answer: Factors of 5047 are 1, 7, 49, 103, 721, 5047. There are 6 integers that are factors of 5047. The greatest factor of 5047 is 5047.

4. How to Find the LCM of 5041 and 5047?

Answer:

Least Common Multiple of 5041 and 5047 = 25441927

Step 1: Find the prime factorization of 5041

5041 = 71 x 71

Step 2: Find the prime factorization of 5047

5047 = 7 x 7 x 103

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

LCM = 25441927 = 7 x 7 x 71 x 71 x 103

Step 4: Therefore, the least common multiple of 5041 and 5047 is 25441927.