Least Common Multiple of 5047 and 5053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5047 and 5053 the smallest integer that is 25502491 that is divisible by both numbers.

Least Common Multiple (LCM) of 5047 and 5053 is 25502491.

LCM(5047,5053) = 25502491

LCM of 5047 and 5053

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

LCM of:
and

Least Common Multiple of 5047 and 5053

LCM of 5047 and 5053 is 25502491

Least common multiple can be found by multiplying the highest exponent prime factors of 5047 and 5053. First we will calculate the prime factors of 5047 and 5053.

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

Prime Factorization of 5053


31 5053
163 163
1

Prime factors of 5053 are 31,163. Prime factorization of 5053 in exponential form is:

5053 = 311×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5047 and 5053.

LCM(5047,5053) = 72×311×1031×1631
LCM(5047,5053) = 25502491

Factors of 5047

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

1, 7, 49, 103, 721, 5047

Factors of 5053

List of positive integer factors of 5053 that divides 5053 without a remainder.

1, 31, 163, 5053

Least Common Multiple of 5047 and 5053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5047 and 5053, than apply into the LCM equation.

GCF(5047,5053) = 1
LCM(5047,5053) = ( 5047 × 5053) / 1
LCM(5047,5053) = 25502491 / 1
LCM(5047,5053) = 25502491

Properties of LCM 5047 and 5053

(i) The LCM of 5053 and 5047 is associative

LCM of 5047 and 5053 = LCM of 5053 and 5047

Related Least Common Multiples of 5047

Related Least Common Multiples of 5053

Frequently Asked Questions on LCM of 5047 and 5053

1. What is the LCM of 5047 and 5053?

Answer: LCM of 5047 and 5053 is 25502491.

2. 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.

3. What are the Factors of 5053?

Answer: Factors of 5053 are 1, 31, 163, 5053. There are 4 integers that are factors of 5053. The greatest factor of 5053 is 5053.

4. How to Find the LCM of 5047 and 5053?

Answer:

Least Common Multiple of 5047 and 5053 = 25502491

Step 1: Find the prime factorization of 5047

5047 = 7 x 7 x 103

Step 2: Find the prime factorization of 5053

5053 = 31 x 163

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

LCM = 25502491 = 7 x 7 x 31 x 103 x 163

Step 4: Therefore, the least common multiple of 5047 and 5053 is 25502491.